{
  "title": "Like and Unlike Fractions - Grade 6 CBSE",
  "total_questions": 150,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "Which of these are like fractions?", "options": {"A": "1/2 and 2/3", "B": "3/4 and 4/5", "C": "2/5 and 3/5", "D": "1/3 and 2/7"}, "correct_answer": "C"},
    {"id": 2, "difficulty": "easy", "question": "Which of these are unlike fractions?", "options": {"A": "3/7 and 4/7", "B": "5/9 and 7/9", "C": "2/3 and 3/4", "D": "6/11 and 8/11"}, "correct_answer": "C"},
    {"id": 3, "difficulty": "easy", "question": "Identify the like fractions: 1/4, 2/5, 3/4, 4/7", "options": {"A": "1/4 and 2/5", "B": "2/5 and 4/7", "C": "1/4 and 3/4", "D": "3/4 and 4/7"}, "correct_answer": "C"},
    {"id": 4, "difficulty": "easy", "question": "What is the common denominator of like fractions 3/8 and 5/8?", "options": {"A": "3", "B": "5", "C": "8", "D": "15"}, "correct_answer": "C"},
    {"id": 5, "difficulty": "easy", "question": "Convert 2/3 and 1/4 into like fractions", "options": {"A": "8/12 and 3/12", "B": "6/12 and 4/12", "C": "4/12 and 3/12", "D": "8/12 and 6/12"}, "correct_answer": "A"},
    {"id": 6, "difficulty": "easy", "question": "Are 5/6 and 7/6 like fractions?", "options": {"A": "Yes", "B": "No", "C": "Sometimes", "D": "Cannot determine"}, "correct_answer": "A"},
    {"id": 7, "difficulty": "easy", "question": "Are 3/8 and 2/5 like fractions?", "options": {"A": "Yes", "B": "No", "C": "Sometimes", "D": "Cannot determine"}, "correct_answer": "B"},
    {"id": 8, "difficulty": "easy", "question": "Which pair has different denominators?", "options": {"A": "2/7, 5/7", "B": "3/9, 7/9", "C": "4/5, 3/5", "D": "1/2, 2/3"}, "correct_answer": "D"},
    {"id": 9, "difficulty": "easy", "question": "Convert 1/2 and 1/3 to like fractions with denominator 6", "options": {"A": "2/6 and 1/6", "B": "3/6 and 2/6", "C": "4/6 and 3/6", "D": "5/6 and 4/6"}, "correct_answer": "B"},
    {"id": 10, "difficulty": "easy", "question": "What makes fractions 'like fractions'?", "options": {"A": "Same numerators", "B": "Same denominators", "C": "Same value", "D": "Same shape"}, "correct_answer": "B"},
    {"id": 11, "difficulty": "easy", "question": "Identify the unlike fractions: 2/3, 4/3, 5/3, 1/4", "options": {"A": "2/3 and 4/3", "B": "4/3 and 5/3", "C": "5/3 and 1/4", "D": "2/3 and 5/3"}, "correct_answer": "C"},
    {"id": 12, "difficulty": "easy", "question": "Convert 3/4 and 2/3 to like fractions with denominator 12", "options": {"A": "9/12 and 8/12", "B": "8/12 and 9/12", "C": "6/12 and 8/12", "D": "9/12 and 6/12"}, "correct_answer": "A"},
    {"id": 13, "difficulty": "easy", "question": "Which of these fractions can be added directly without conversion?", "options": {"A": "1/2 + 1/3", "B": "2/5 + 3/4", "C": "3/8 + 5/8", "D": "4/7 + 2/9"}, "correct_answer": "C"},
    {"id": 14, "difficulty": "easy", "question": "Find the common denominator for 1/5 and 2/3", "options": {"A": "5", "B": "3", "C": "8", "D": "15"}, "correct_answer": "D"},
    {"id": 15, "difficulty": "easy", "question": "Are 7/12 and 5/12 like fractions?", "options": {"A": "Yes", "B": "No", "C": "Only if simplified", "D": "Cannot say"}, "correct_answer": "A"},
    {"id": 16, "difficulty": "easy", "question": "Convert 2/7 and 3/14 to like fractions", "options": {"A": "4/14 and 3/14", "B": "2/14 and 3/14", "C": "8/28 and 6/28", "D": "4/28 and 6/28"}, "correct_answer": "A"},
    {"id": 17, "difficulty": "easy", "question": "Which pair are unlike fractions?", "options": {"A": "4/9 and 7/9", "B": "5/11 and 8/11", "C": "3/10 and 7/10", "D": "2/5 and 3/7"}, "correct_answer": "D"},
    {"id": 18, "difficulty": "easy", "question": "What is the least common denominator of 1/2 and 1/6?", "options": {"A": "2", "B": "6", "C": "12", "D": "18"}, "correct_answer": "B"},
    {"id": 19, "difficulty": "easy", "question": "Convert 5/6 and 2/9 to like fractions with denominator 18", "options": {"A": "15/18 and 4/18", "B": "10/18 and 4/18", "C": "15/18 and 6/18", "D": "12/18 and 4/18"}, "correct_answer": "A"},
    {"id": 20, "difficulty": "easy", "question": "Which operation requires fractions to be like fractions?", "options": {"A": "Addition", "B": "Subtraction", "C": "Both addition and subtraction", "D": "Multiplication"}, "correct_answer": "C"},
    {"id": 21, "difficulty": "medium", "question": "Convert 3/5, 7/10, and 4/15 into like fractions", "options": {"A": "18/30, 21/30, 8/30", "B": "9/15, 10/15, 4/15", "C": "12/20, 14/20, 4/20", "D": "6/10, 7/10, 4/10"}, "correct_answer": "A"},
    {"id": 22, "difficulty": "medium", "question": "Find the least common denominator for 1/4, 2/3, and 3/8", "options": {"A": "12", "B": "16", "C": "24", "D": "32"}, "correct_answer": "C"},
    {"id": 23, "difficulty": "medium", "question": "Convert 2/3, 5/6, and 7/12 to like fractions with denominator 12", "options": {"A": "8/12, 10/12, 7/12", "B": "6/12, 10/12, 7/12", "C": "8/12, 5/12, 7/12", "D": "4/12, 10/12, 7/12"}, "correct_answer": "A"},
    {"id": 24, "difficulty": "medium", "question": "Which of these sets contains only like fractions?", "options": {"A": "1/2, 2/3, 3/4", "B": "3/5, 4/5, 6/5", "C": "2/7, 3/8, 4/9", "D": "5/6, 7/8, 9/10"}, "correct_answer": "B"},
    {"id": 25, "difficulty": "medium", "question": "Convert 4/9, 5/6, and 7/18 into like fractions", "options": {"A": "8/18, 15/18, 7/18", "B": "4/18, 5/18, 7/18", "C": "12/27, 15/27, 7/27", "D": "16/36, 30/36, 14/36"}, "correct_answer": "A"},
    {"id": 26, "difficulty": "medium", "question": "Find the common denominator for 1/6, 2/9, and 5/12", "options": {"A": "18", "B": "24", "C": "36", "D": "48"}, "correct_answer": "C"},
    {"id": 27, "difficulty": "medium", "question": "Arrange in ascending order after converting to like fractions: 2/3, 5/6, 7/12", "options": {"A": "7/12, 2/3, 5/6", "B": "2/3, 5/6, 7/12", "C": "5/6, 2/3, 7/12", "D": "7/12, 5/6, 2/3"}, "correct_answer": "A"},
    {"id": 28, "difficulty": "medium", "question": "Convert 3/8, 2/5, and 4/10 to like fractions with denominator 40", "options": {"A": "15/40, 16/40, 16/40", "B": "12/40, 16/40, 16/40", "C": "15/40, 8/40, 16/40", "D": "15/40, 16/40, 8/40"}, "correct_answer": "A"},
    {"id": 29, "difficulty": "medium", "question": "Which requires conversion to like fractions first: 3/4 + 5/8 or 7/9 - 2/9?", "options": {"A": "Only 3/4 + 5/8", "B": "Only 7/9 - 2/9", "C": "Both", "D": "Neither"}, "correct_answer": "A"},
    {"id": 30, "difficulty": "medium", "question": "Find the sum of 2/5 and 3/10 after converting to like fractions", "options": {"A": "5/15", "B": "7/10", "C": "5/10", "D": "6/10"}, "correct_answer": "B"},
    {"id": 31, "difficulty": "medium", "question": "Subtract 1/4 from 2/3 after converting to like fractions", "options": {"A": "5/12", "B": "1/12", "C": "3/7", "D": "4/12"}, "correct_answer": "A"},
    {"id": 32, "difficulty": "medium", "question": "Convert 1/2, 2/3, 3/4, and 5/6 to like fractions with denominator 12", "options": {"A": "6/12, 8/12, 9/12, 10/12", "B": "6/12, 4/12, 9/12, 10/12", "C": "3/12, 8/12, 9/12, 10/12", "D": "6/12, 8/12, 3/12, 10/12"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "Find the least common denominator for 3/7, 5/14, and 9/21", "options": {"A": "7", "B": "14", "C": "21", "D": "42"}, "correct_answer": "D"},
    {"id": 34, "difficulty": "medium", "question": "Which of these fractions when converted to denominator 24 becomes 18/24?", "options": {"A": "2/3", "B": "3/4", "C": "5/6", "D": "7/8"}, "correct_answer": "B"},
    {"id": 35, "difficulty": "medium", "question": "Add 1/3, 1/4, and 1/6 after converting to like fractions", "options": {"A": "3/13", "B": "9/12", "C": "3/4", "D": "13/12"}, "correct_answer": "C"},
    {"id": 36, "difficulty": "medium", "question": "Subtract 3/8 from 2/3 after converting to like fractions", "options": {"A": "1/5", "B": "7/24", "C": "5/24", "D": "1/3"}, "correct_answer": "B"},
    {"id": 37, "difficulty": "medium", "question": "Convert 7/15, 4/5, and 11/20 to like fractions", "options": {"A": "28/60, 48/60, 33/60", "B": "14/30, 24/30, 16/30", "C": "7/15, 12/15, 11/15", "D": "21/45, 36/45, 24/45"}, "correct_answer": "A"},
    {"id": 38, "difficulty": "medium", "question": "Find the common denominator for 5/12, 7/18, and 11/24", "options": {"A": "36", "B": "48", "C": "72", "D": "96"}, "correct_answer": "C"},
    {"id": 39, "difficulty": "medium", "question": "Which set contains a mix of like and unlike fractions: 2/5, 3/5, 4/7, 5/7?", "options": {"A": "All are like fractions", "B": "All are unlike fractions", "C": "2/5 and 3/5 are like; 4/7 and 5/7 are like", "D": "2/5 and 4/7 are like"}, "correct_answer": "C"},
    {"id": 40, "difficulty": "medium", "question": "Convert 0.5, 3/4, and 0.6 to like fractions", "options": {"A": "5/10, 7/10, 6/10", "B": "10/20, 15/20, 12/20", "C": "1/2, 3/4, 3/5", "D": "2/4, 3/4, 2/3"}, "correct_answer": "B"},
    {"id": 41, "difficulty": "medium", "question": "Arrange in descending order after converting to like fractions: 5/8, 2/3, 7/12", "options": {"A": "2/3, 5/8, 7/12", "B": "5/8, 2/3, 7/12", "C": "2/3, 7/12, 5/8", "D": "5/8, 7/12, 2/3"}, "correct_answer": "A"},
    {"id": 42, "difficulty": "medium", "question": "Find the difference between 7/8 and 3/5 after converting to like fractions", "options": {"A": "11/40", "B": "4/3", "C": "29/40", "D": "1/3"}, "correct_answer": "A"},
    {"id": 43, "difficulty": "medium", "question": "Convert to like fractions and add: 1/2 + 1/3 + 1/4", "options": {"A": "13/12", "B": "3/9", "C": "1/3", "D": "11/12"}, "correct_answer": "A"},
    {"id": 44, "difficulty": "medium", "question": "What is the common denominator for 1.25, 3/4, and 0.6 when converted to fractions?", "options": {"A": "4", "B": "10", "C": "20", "D": "100"}, "correct_answer": "C"},
    {"id": 45, "difficulty": "medium", "question": "Convert 2 1/3, 1 3/4, and 3 1/2 to improper fractions then to like fractions", "options": {"A": "28/12, 21/12, 42/12", "B": "7/3, 7/4, 7/2", "C": "14/6, 9/4, 7/2", "D": "21/9, 12/8, 14/4"}, "correct_answer": "A"},
    {"id": 46, "difficulty": "medium", "question": "Find the least common denominator for 5/6, 7/9, and 11/15", "options": {"A": "45", "B": "60", "C": "90", "D": "180"}, "correct_answer": "C"},
    {"id": 47, "difficulty": "medium", "question": "Which fraction when converted to denominator 30 becomes 24/30?", "options": {"A": "3/4", "B": "4/5", "C": "5/6", "D": "6/7"}, "correct_answer": "B"},
    {"id": 48, "difficulty": "medium", "question": "Add 2/7, 3/14, and 5/21 after converting to like fractions", "options": {"A": "10/42", "B": "37/42", "C": "29/42", "D": "31/42"}, "correct_answer": "D"},
    {"id": 49, "difficulty": "medium", "question": "Subtract 5/12 from 8/9 after converting to like fractions", "options": {"A": "17/36", "B": "13/36", "C": "23/36", "D": "29/36"}, "correct_answer": "A"},
    {"id": 50, "difficulty": "medium", "question": "Convert 0.75, 4/5, and 0.625 to like fractions", "options": {"A": "75/100, 80/100, 62.5/100", "B": "3/4, 4/5, 5/8", "C": "15/20, 16/20, 12.5/20", "D": "30/40, 32/40, 25/40"}, "correct_answer": "D"},
    {"id": 51, "difficulty": "medium", "question": "Arrange in ascending order: 3/5, 7/10, 13/20, 2/3", "options": {"A": "13/20, 3/5, 7/10, 2/3", "B": "3/5, 13/20, 7/10, 2/3", "C": "13/20, 7/10, 3/5, 2/3", "D": "3/5, 7/10, 13/20, 2/3"}, "correct_answer": "B"},
    {"id": 52, "difficulty": "medium", "question": "Find the common denominator for 1/8, 5/12, and 7/18", "options": {"A": "36", "B": "48", "C": "72", "D": "96"}, "correct_answer": "C"},
    {"id": 53, "difficulty": "medium", "question": "Convert 2.5, 1 3/4, and 0.8 to like fractions", "options": {"A": "25/10, 17/10, 8/10", "B": "5/2, 7/4, 4/5", "C": "10/4, 7/4, 16/20", "D": "50/20, 35/20, 16/20"}, "correct_answer": "D"},
    {"id": 54, "difficulty": "medium", "question": "Which requires like fractions for comparison: 3/4 ○ 2/3 or 5/6 ○ 5/7?", "options": {"A": "Only 3/4 ○ 2/3", "B": "Only 5/6 ○ 5/7", "C": "Both", "D": "Neither"}, "correct_answer": "C"},
    {"id": 55, "difficulty": "medium", "question": "Find the sum of 1/6, 1/4, and 1/3 after converting to like fractions", "options": {"A": "3/13", "B": "3/4", "C": "9/12", "D": "13/12"}, "correct_answer": "B"},
    {"id": 56, "difficulty": "medium", "question": "Subtract 7/15 from 3/5 after converting to like fractions", "options": {"A": "2/15", "B": "4/15", "C": "6/15", "D": "8/15"}, "correct_answer": "A"},
    {"id": 57, "difficulty": "medium", "question": "Convert 11/16, 5/8, and 3/4 to like fractions with denominator 16", "options": {"A": "11/16, 10/16, 12/16", "B": "11/16, 5/16, 3/16", "C": "11/16, 8/16, 4/16", "D": "11/16, 10/16, 8/16"}, "correct_answer": "A"},
    {"id": 58, "difficulty": "medium", "question": "Find the least common denominator for 4/15, 7/20, and 11/30", "options": {"A": "30", "B": "60", "C": "90", "D": "120"}, "correct_answer": "B"},
    {"id": 59, "difficulty": "medium", "question": "Which of these when converted to denominator 60 becomes 45/60?", "options": {"A": "2/3", "B": "3/4", "C": "5/6", "D": "7/8"}, "correct_answer": "B"},
    {"id": 60, "difficulty": "medium", "question": "Add 2/9, 5/12, and 7/18 after converting to like fractions", "options": {"A": "14/39", "B": "41/36", "C": "29/36", "D": "35/36"}, "correct_answer": "B"},
    {"id": 61, "difficulty": "medium", "question": "Subtract 3/7 from 5/8 after converting to like fractions", "options": {"A": "11/56", "B": "2/1", "C": "19/56", "D": "8/15"}, "correct_answer": "A"},
    {"id": 62, "difficulty": "medium", "question": "Convert 0.375, 5/8, and 0.7 to like fractions", "options": {"A": "375/1000, 625/1000, 700/1000", "B": "3/8, 5/8, 7/10", "C": "15/40, 25/40, 28/40", "D": "6/16, 10/16, 11/16"}, "correct_answer": "C"},
    {"id": 63, "difficulty": "medium", "question": "Arrange in descending order: 4/7, 5/9, 11/14, 7/12", "options": {"A": "11/14, 4/7, 5/9, 7/12", "B": "11/14, 5/9, 4/7, 7/12", "C": "4/7, 11/14, 5/9, 7/12", "D": "11/14, 4/7, 7/12, 5/9"}, "correct_answer": "A"},
    {"id": 64, "difficulty": "medium", "question": "Find the common denominator for 9/16, 5/12, and 13/24", "options": {"A": "24", "B": "36", "C": "48", "D": "72"}, "correct_answer": "C"},
    {"id": 65, "difficulty": "medium", "question": "Convert 1.2, 3/5, and 0.85 to like fractions", "options": {"A": "12/10, 6/10, 8.5/10", "B": "6/5, 3/5, 17/20", "C": "24/20, 12/20, 17/20", "D": "60/50, 30/50, 42.5/50"}, "correct_answer": "C"},
    {"id": 66, "difficulty": "medium", "question": "Which comparison requires conversion to like fractions: 7/8 vs 0.875 or 2/3 vs 3/5?", "options": {"A": "Only 7/8 vs 0.875", "B": "Only 2/3 vs 3/5", "C": "Both", "D": "Neither"}, "correct_answer": "B"},
    {"id": 67, "difficulty": "medium", "question": "Find the sum of 3/10, 2/5, and 7/20 after converting to like fractions", "options": {"A": "12/35", "B": "17/20", "C": "21/20", "D": "13/20"}, "correct_answer": "B"},
    {"id": 68, "difficulty": "medium", "question": "Subtract 4/9 from 7/12 after converting to like fractions", "options": {"A": "5/36", "B": "1/3", "C": "11/36", "D": "13/36"}, "correct_answer": "A"},
    {"id": 69, "difficulty": "medium", "question": "Convert 13/20, 3/4, and 7/10 to like fractions with denominator 20", "options": {"A": "13/20, 15/20, 14/20", "B": "13/20, 3/20, 7/20", "C": "13/20, 12/20, 7/20", "D": "13/20, 10/20, 14/20"}, "correct_answer": "A"},
    {"id": 70, "difficulty": "medium", "question": "Find the least common denominator for 8/21, 5/14, and 11/42", "options": {"A": "42", "B": "84", "C": "126", "D": "168"}, "correct_answer": "A"},
    {"id": 71, "difficulty": "medium", "question": "Which of these when converted to denominator 84 becomes 63/84?", "options": {"A": "2/3", "B": "3/4", "C": "5/6", "D": "7/8"}, "correct_answer": "B"},
    {"id": 72, "difficulty": "medium", "question": "Add 5/16, 3/8, and 7/12 after converting to like fractions", "options": {"A": "15/48", "B": "89/48", "C": "65/48", "D": "71/48"}, "correct_answer": "D"},
    {"id": 73, "difficulty": "medium", "question": "Subtract 5/14 from 3/7 after converting to like fractions", "options": {"A": "1/14", "B": "2/14", "C": "3/14", "D": "4/14"}, "correct_answer": "A"},
    {"id": 74, "difficulty": "medium", "question": "Convert 0.125, 3/8, and 0.5 to like fractions", "options": {"A": "1/8, 3/8, 4/8", "B": "2/16, 6/16, 8/16", "C": "4/32, 12/32, 16/32", "D": "All of these"}, "correct_answer": "D"},
    {"id": 75, "difficulty": "medium", "question": "Arrange in ascending order: 5/12, 3/8, 7/16, 2/5", "options": {"A": "3/8, 5/12, 7/16, 2/5", "B": "3/8, 7/16, 5/12, 2/5", "C": "5/12, 3/8, 2/5, 7/16", "D": "3/8, 5/12, 2/5, 7/16"}, "correct_answer": "B"},
    {"id": 76, "difficulty": "medium", "question": "Find the common denominator for 11/24, 7/18, and 5/16", "options": {"A": "72", "B": "96", "C": "144", "D": "288"}, "correct_answer": "C"},
    {"id": 77, "difficulty": "medium", "question": "Convert 2.25, 1 5/8, and 0.75 to like fractions", "options": {"A": "225/100, 162.5/100, 75/100", "B": "9/4, 13/8, 3/4", "C": "18/8, 13/8, 6/8", "D": "36/16, 26/16, 12/16"}, "correct_answer": "C"},
    {"id": 78, "difficulty": "medium", "question": "Find the sum of 1/5, 3/10, and 7/20 after converting to like fractions", "options": {"A": "11/20", "B": "13/20", "C": "17/20", "D": "21/20"}, "correct_answer": "C"},
    {"id": 79, "difficulty": "medium", "question": "Subtract 3/11 from 5/8 after converting to like fractions", "options": {"A": "7/88", "B": "17/88", "C": "27/88", "D": "31/88"}, "correct_answer": "D"},
    {"id": 80, "difficulty": "medium", "question": "Which of these fractions can be compared directly without conversion: 4/9 and 5/9 or 3/7 and 4/9?", "options": {"A": "Only 4/9 and 5/9", "B": "Only 3/7 and 4/9", "C": "Both", "D": "Neither"}, "correct_answer": "A"},
    {"id": 81, "difficulty": "hard", "question": "Convert 17/24, 11/16, and 23/32 to like fractions", "options": {"A": "68/96, 66/96, 69/96", "B": "34/48, 33/48, 34/48", "C": "136/192, 132/192, 138/192", "D": "17/24, 22/32, 23/32"}, "correct_answer": "A"},
    {"id": 82, "difficulty": "hard", "question": "Find the least common denominator for 7/30, 11/45, and 13/60", "options": {"A": "90", "B": "180", "C": "360", "D": "540"}, "correct_answer": "B"},
    {"id": 83, "difficulty": "hard", "question": "Arrange in descending order: 13/18, 7/12, 5/8, 11/16", "options": {"A": "13/18, 11/16, 5/8, 7/12", "B": "13/18, 5/8, 11/16, 7/12", "C": "11/16, 13/18, 5/8, 7/12", "D": "13/18, 11/16, 7/12, 5/8"}, "correct_answer": "A"},
    {"id": 84, "difficulty": "hard", "question": "Convert 2.375, 1 7/8, and 3.125 to like fractions", "options": {"A": "19/8, 15/8, 25/8", "B": "38/16, 30/16, 50/16", "C": "76/32, 60/32, 100/32", "D": "All of these"}, "correct_answer": "D"},
    {"id": 85, "difficulty": "hard", "question": "Find the sum of 5/12, 7/18, 11/24, and 13/36 after converting to like fractions", "options": {"A": "85/72", "B": "95/72", "C": "105/72", "D": "115/72"}, "correct_answer": "B"},
    {"id": 86, "difficulty": "hard", "question": "Subtract 7/15 from the sum of 3/5 and 2/3 after converting to like fractions", "options": {"A": "14/15", "B": "16/15", "C": "18/15", "D": "20/15"}, "correct_answer": "B"},
    {"id": 87, "difficulty": "hard", "question": "Convert 0.41666..., 5/12, and 7/16 to like fractions", "options": {"A": "10/24, 10/24, 10.5/24", "B": "20/48, 20/48, 21/48", "C": "40/96, 40/96, 42/96", "D": "5/12, 5/12, 7/16"}, "correct_answer": "B"},
    {"id": 88, "difficulty": "hard", "question": "Find the common denominator for 19/28, 23/42, and 29/56", "options": {"A": "84", "B": "168", "C": "336", "D": "672"}, "correct_answer": "B"},
    {"id": 89, "difficulty": "hard", "question": "Which is greater: (3/5 + 1/4) or (2/3 + 1/6) after converting to like fractions?", "options": {"A": "3/5 + 1/4", "B": "2/3 + 1/6", "C": "Both are equal", "D": "Cannot compare"}, "correct_answer": "A"},
    {"id": 90, "difficulty": "hard", "question": "Convert 1.8333..., 1 7/12, and 11/6 to like fractions", "options": {"A": "22/12, 19/12, 22/12", "B": "11/6, 19/12, 11/6", "C": "44/24, 38/24, 44/24", "D": "33/18, 28/18, 33/18"}, "correct_answer": "A"},
    {"id": 91, "difficulty": "hard", "question": "Find the difference between the sum of 5/8 and 7/12 and the sum of 3/4 and 5/6", "options": {"A": "1/24", "B": "1/12", "C": "1/8", "D": "1/6"}, "correct_answer": "A"},
    {"id": 92, "difficulty": "hard", "question": "Arrange in ascending order: 17/24, 11/15, 23/30, 19/25", "options": {"A": "17/24, 19/25, 11/15, 23/30", "B": "17/24, 11/15, 19/25, 23/30", "C": "11/15, 17/24, 19/25, 23/30", "D": "17/24, 19/25, 23/30, 11/15"}, "correct_answer": "B"},
    {"id": 93, "difficulty": "hard", "question": "Convert 2.7272..., 1 9/11, and 30/11 to like fractions", "options": {"A": "30/11, 20/11, 30/11", "B": "60/22, 40/22, 60/22", "C": "90/33, 60/33, 90/33", "D": "All of these"}, "correct_answer": "A"},
    {"id": 94, "difficulty": "hard", "question": "Find the least common denominator for 31/48, 37/72, and 43/96", "options": {"A": "144", "B": "288", "C": "576", "D": "1152"}, "correct_answer": "B"},
    {"id": 95, "difficulty": "hard", "question": "Which expression is largest when converted to like fractions: (1/2+1/3), (3/4-1/8), or (5/6-1/4)?", "options": {"A": "1/2+1/3", "B": "3/4-1/8", "C": "5/6-1/4", "D": "All are equal"}, "correct_answer": "C"},
    {"id": 96, "difficulty": "hard", "question": "Convert √(1/4), 0.6, 3/5, and 7/10 to like fractions", "options": {"A": "5/10, 6/10, 6/10, 7/10", "B": "2/4, 2.4/4, 2.4/4, 2.8/4", "C": "10/20, 12/20, 12/20, 14/20", "D": "All of these"}, "correct_answer": "A"},
    {"id": 97, "difficulty": "hard", "question": "Find the value of (5/12 + 7/18) - (3/8 + 1/6) after converting to like fractions", "options": {"A": "5/72", "B": "7/72", "C": "11/72", "D": "13/72"}, "correct_answer": "D"},
    {"id": 98, "difficulty": "hard", "question": "Arrange in descending order: (1-1/3), (0.5+1/4), (3/4-1/8), (2/3+1/6)", "options": {"A": "(1-1/3), (2/3+1/6), (3/4-1/8), (0.5+1/4)", "B": "(2/3+1/6), (1-1/3), (3/4-1/8), (0.5+1/4)", "C": "(3/4-1/8), (2/3+1/6), (1-1/3), (0.5+1/4)", "D": "(1-1/3), (3/4-1/8), (2/3+1/6), (0.5+1/4)"}, "correct_answer": "C"},
    {"id": 99, "difficulty": "hard", "question": "If a/b and c/d are like fractions, which is always true?", "options": {"A": "a = c", "B": "b = d", "C": "a/b = c/d", "D": "a+c = b+d"}, "correct_answer": "B"},
    {"id": 100, "difficulty": "hard", "question": "Convert 0.142857..., 1/7, and 2/14 to like fractions and compare", "options": {"A": "All are equal", "B": "0.142857... is smallest", "C": "1/7 is largest", "D": "2/14 is different"}, "correct_answer": "A"}
,
{"id":101,"difficulty":"easy","question":"Which of these are like fractions?","options":{"A":"2/9 and 5/9","B":"3/4 and 5/6","C":"1/2 and 3/5","D":"4/7 and 5/8"},"correct_answer":"A"},
{"id":102,"difficulty":"easy","question":"Which pair has unlike fractions?","options":{"A":"6/11 and 9/11","B":"3/10 and 7/10","C":"4/5 and 2/3","D":"8/15 and 11/15"},"correct_answer":"C"},
{"id":103,"difficulty":"easy","question":"Identify the like fractions: 5/6, 7/6, 3/8, 4/9","options":{"A":"5/6 and 7/6","B":"3/8 and 4/9","C":"7/6 and 3/8","D":"5/6 and 4/9"},"correct_answer":"A"},
{"id":104,"difficulty":"easy","question":"What is the common denominator of 9/13 and 4/13?","options":{"A":"9","B":"13","C":"17","D":"52"},"correct_answer":"B"},
{"id":105,"difficulty":"easy","question":"Are 10/15 and 6/15 like fractions?","options":{"A":"Yes","B":"No","C":"Only after simplification","D":"Cannot say"},"correct_answer":"A"},
{"id":106,"difficulty":"easy","question":"Which fractions can be added directly?","options":{"A":"2/7 + 3/7","B":"3/5 + 4/6","C":"1/4 + 1/3","D":"5/8 + 3/10"},"correct_answer":"A"},
{"id":107,"difficulty":"easy","question":"Which pair has same denominators?","options":{"A":"1/2 and 3/4","B":"5/9 and 2/9","C":"4/7 and 3/8","D":"6/11 and 7/13"},"correct_answer":"B"},
{"id":108,"difficulty":"easy","question":"Convert 3/5 and 4/5 into like fractions","options":{"A":"3/5 and 4/5","B":"6/10 and 8/10","C":"Both A and B","D":"Neither"},"correct_answer":"C"},
{"id":109,"difficulty":"easy","question":"Are 2/3 and 4/6 like fractions?","options":{"A":"Yes","B":"No","C":"Only after simplification","D":"Cannot determine"},"correct_answer":"B"},
{"id":110,"difficulty":"easy","question":"Which of these are unlike fractions?","options":{"A":"7/12 and 11/12","B":"3/4 and 5/4","C":"5/6 and 1/6","D":"2/9 and 4/9"},"correct_answer":"B"},
{"id":111,"difficulty":"easy","question":"What makes fractions unlike?","options":{"A":"Different numerators","B":"Different denominators","C":"Different values","D":"Different shapes"},"correct_answer":"B"},
{"id":112,"difficulty":"easy","question":"Convert 1/3 and 1/6 into like fractions","options":{"A":"2/6 and 1/6","B":"3/9 and 1/9","C":"4/12 and 2/12","D":"All of these"},"correct_answer":"D"},
{"id":113,"difficulty":"easy","question":"Which pair is NOT like fractions?","options":{"A":"9/10 and 3/10","B":"4/11 and 7/11","C":"6/13 and 8/13","D":"5/6 and 7/8"},"correct_answer":"D"},
{"id":114,"difficulty":"easy","question":"Find the common denominator of 2/9 and 5/9","options":{"A":"7","B":"9","C":"18","D":"45"},"correct_answer":"B"},
{"id":115,"difficulty":"easy","question":"Are 14/21 and 10/21 like fractions?","options":{"A":"Yes","B":"No","C":"Only when simplified","D":"Cannot say"},"correct_answer":"A"},
{"id":116,"difficulty":"easy","question":"Which operation needs like fractions?","options":{"A":"Multiplication","B":"Division","C":"Addition","D":"Both A and B"},"correct_answer":"C"},
{"id":117,"difficulty":"easy","question":"Identify the unlike fraction in the group: 3/8, 5/8, 7/8, 4/9","options":{"A":"3/8","B":"5/8","C":"7/8","D":"4/9"},"correct_answer":"D"},
{"id":118,"difficulty":"easy","question":"Convert 2/5 and 3/10 to like fractions","options":{"A":"4/10 and 3/10","B":"2/5 and 3/5","C":"6/15 and 9/15","D":"8/20 and 6/20"},"correct_answer":"A"},
{"id":119,"difficulty":"easy","question":"Which set has only like fractions?","options":{"A":"2/7, 4/7, 5/7","B":"1/2, 2/3, 3/4","C":"3/5, 4/6, 5/7","D":"6/11, 7/13, 8/15"},"correct_answer":"A"},
{"id":120,"difficulty":"easy","question":"True or False: Like fractions must have equal values","options":{"A":"True","B":"False","C":"Sometimes","D":"Cannot say"},"correct_answer":"B"},


{"id":121,"difficulty":"medium","question":"Convert 3/4, 5/6, and 7/12 into like fractions","options":{"A":"9/12, 10/12, 7/12","B":"18/24, 20/24, 14/24","C":"36/48, 40/48, 28/48","D":"All of these"},"correct_answer":"D"},
{"id":122,"difficulty":"medium","question":"Find the least common denominator of 5/8 and 7/12","options":{"A":"12","B":"24","C":"48","D":"96"},"correct_answer":"B"},
{"id":123,"difficulty":"medium","question":"Which must be converted to like fractions before addition?","options":{"A":"4/9 + 7/9","B":"3/5 + 2/3","C":"11/15 + 4/15","D":"6/13 + 9/13"},"correct_answer":"B"},
{"id":124,"difficulty":"medium","question":"Add 2/3 and 5/6 after converting to like fractions","options":{"A":"7/9","B":"3/2","C":"9/6","D":"11/6"},"correct_answer":"D"},
{"id":125,"difficulty":"medium","question":"Subtract 3/8 from 5/6 after converting to like fractions","options":{"A":"11/24","B":"7/24","C":"13/24","D":"17/24"},"correct_answer":"A"},
{"id":126,"difficulty":"medium","question":"Which of these becomes 12/20 when converted to like fractions?","options":{"A":"3/5","B":"2/5","C":"4/5","D":"5/6"},"correct_answer":"A"},
{"id":127,"difficulty":"medium","question":"Arrange in ascending order using like fractions: 2/3, 3/4, 5/6","options":{"A":"2/3, 3/4, 5/6","B":"3/4, 2/3, 5/6","C":"5/6, 3/4, 2/3","D":"3/4, 5/6, 2/3"},"correct_answer":"A"},
{"id":128,"difficulty":"medium","question":"Find the sum of 1/4, 1/6, and 1/12","options":{"A":"1/2","B":"3/4","C":"7/12","D":"5/12"},"correct_answer":"A"},
{"id":129,"difficulty":"medium","question":"Which fraction becomes 15/30 when converted to like fractions?","options":{"A":"1/2","B":"3/5","C":"2/3","D":"4/5"},"correct_answer":"A"},
{"id":130,"difficulty":"medium","question":"Convert 0.5, 3/4, and 0.25 to like fractions","options":{"A":"1/2, 3/4, 1/4","B":"2/4, 3/4, 1/4","C":"4/8, 6/8, 2/8","D":"All of these"},"correct_answer":"D"},

{"id":131,"difficulty":"hard","question":"Find the sum of 5/12, 7/18, and 11/24 after converting to like fractions","options":{"A":"65/72","B":"71/72","C":"77/72","D":"83/72"},"correct_answer":"B"},
{"id":132,"difficulty":"hard","question":"Subtract (3/4 + 1/6) from (5/6 + 1/3)","options":{"A":"1/6","B":"1/4","C":"1/3","D":"1/2"},"correct_answer":"B"},
{"id":133,"difficulty":"hard","question":"Arrange in descending order: 7/8, 11/12, 13/16, 5/6","options":{"A":"11/12, 7/8, 5/6, 13/16","B":"11/12, 13/16, 7/8, 5/6","C":"7/8, 11/12, 5/6, 13/16","D":"13/16, 5/6, 7/8, 11/12"},"correct_answer":"B"},
{"id":134,"difficulty":"hard","question":"Find the value of (2/3 + 5/12) − (1/4 + 1/6)","options":{"A":"5/12","B":"1/2","C":"7/12","D":"3/4"},"correct_answer":"B"},
{"id":135,"difficulty":"hard","question":"Which is greater after converting to like fractions: (3/5 + 1/4) or (2/3 + 1/6)?","options":{"A":"First","B":"Second","C":"Both equal","D":"Cannot say"},"correct_answer":"A"},
{"id":136,"difficulty":"hard","question":"Convert 1.75, 2/3, and 5/8 to like fractions","options":{"A":"14/8, 16/24, 15/24","B":"7/4, 2/3, 5/8","C":"42/24, 16/24, 15/24","D":"All of these"},"correct_answer":"C"},
{"id":137,"difficulty":"hard","question":"Find the difference between (7/10 + 3/5) and (11/15 + 2/3)","options":{"A":"1/30","B":"1/15","C":"1/10","D":"2/15"},"correct_answer":"B"},
{"id":138,"difficulty":"hard","question":"Arrange in ascending order: 13/18, 5/6, 7/9, 11/12","options":{"A":"13/18, 7/9, 5/6, 11/12","B":"7/9, 13/18, 5/6, 11/12","C":"5/6, 7/9, 13/18, 11/12","D":"13/18, 5/6, 7/9, 11/12"},"correct_answer":"A"},
{"id":139,"difficulty":"hard","question":"If a/b and c/d are like fractions, which must be true?","options":{"A":"a = c","B":"b = d","C":"a/b = c/d","D":"a + c = b + d"},"correct_answer":"B"},
{"id":140,"difficulty":"hard","question":"Convert √(1/4), 0.75, and 3/5 to like fractions","options":{"A":"1/2, 3/4, 3/5","B":"5/10, 15/20, 12/20","C":"10/20, 15/20, 12/20","D":"All of these"},"correct_answer":"C"},
{"id":141,"difficulty":"hard","question":"Find the sum of (1 − 1/3), (3/4 − 1/8), and (2/3 + 1/6)","options":{"A":"23/12","B":"25/12","C":"27/12","D":"29/12"},"correct_answer":"B"},
{"id":142,"difficulty":"hard","question":"Which expression is smallest after converting to like fractions?","options":{"A":"1/2 + 1/3","B":"3/4 − 1/8","C":"5/6 − 1/4","D":"2/3 − 1/6"},"correct_answer":"D"},
{"id":143,"difficulty":"hard","question":"Find the difference between the sum of 4/5 and 7/10 and the sum of 3/4 and 2/5","options":{"A":"1/20","B":"1/10","C":"3/20","D":"1/5"},"correct_answer":"C"},
{"id":144,"difficulty":"hard","question":"Convert 0.4166…, 5/12, and 7/16 to like fractions","options":{"A":"10/24, 10/24, 10.5/24","B":"20/48, 20/48, 21/48","C":"40/96, 40/96, 42/96","D":"All of these"},"correct_answer":"B"},
{"id":145,"difficulty":"hard","question":"Arrange in descending order: (1−1/4), (0.5+1/6), (3/5+1/10)","options":{"A":"(1−1/4), (3/5+1/10), (0.5+1/6)","B":"(3/5+1/10), (1−1/4), (0.5+1/6)","C":"(0.5+1/6), (3/5+1/10), (1−1/4)","D":"All equal"},"correct_answer":"A"},
{"id":146,"difficulty":"hard","question":"Find the value of (5/12 + 7/18) − (3/8 + 1/6)","options":{"A":"5/72","B":"7/72","C":"11/72","D":"13/72"},"correct_answer":"D"},
{"id":147,"difficulty":"hard","question":"Convert 2.7272…, 1 9/11, and 30/11 to like fractions","options":{"A":"30/11, 20/11, 30/11","B":"60/22, 40/22, 60/22","C":"90/33, 60/33, 90/33","D":"All of these"},"correct_answer":"A"},
{"id":148,"difficulty":"hard","question":"Which is largest after converting to like fractions: 7/8, 5/6, 11/12?","options":{"A":"7/8","B":"5/6","C":"11/12","D":"All equal"},"correct_answer":"C"},
{"id":149,"difficulty":"hard","question":"Find the value of (3/5 + 1/4) + (2/3 − 1/6)","options":{"A":"29/20","B":"31/20","C":"33/20","D":"35/20"},"correct_answer":"B"},
{"id":150,"difficulty":"hard","question":"True or False: Unlike fractions must always be converted before comparison","options":{"A":"True","B":"False","C":"Sometimes","D":"Cannot say"},"correct_answer":"A"}
  ]
}