Workbook Detail
Fractions Quarters Hard — Set 57
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"operation": "fractions",
"subject": "arithmetic",
"difficulty": "hard",
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"problems": [
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"id": 1,
"type": "fractions",
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"numerator1": 11,
"denominator1": 16,
"numerator2": 2,
"denominator2": 13,
"question": "11/16 × 2/13 = ?",
"answer": "11/104",
"correctAnswer": "11/104",
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{
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"type": "fractions",
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"numerator1": 5,
"denominator1": 15,
"numerator2": 4,
"denominator2": 15,
"question": "5/15 - 4/15 = ?",
"answer": "1/15",
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{
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"numerator1": 2,
"denominator1": 10,
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"denominator2": 5,
"question": "2/10 - 1/5 = ?",
"answer": "0",
"correctAnswer": "0",
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"id": 4,
"type": "fractions",
"subType": "add",
"numerator1": 2,
"denominator1": 3,
"numerator2": 1,
"denominator2": 14,
"question": "2/3 + 1/14 = ?",
"answer": "31/42",
"correctAnswer": "31/42",
"difficulty": "hard"
},
{
"id": 5,
"type": "fractions",
"subType": "subtract",
"numerator1": 7,
"denominator1": 11,
"numerator2": 6,
"denominator2": 12,
"question": "7/11 - 6/12 = ?",
"answer": "3/22",
"correctAnswer": "3/22",
"difficulty": "hard"
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{
"id": 6,
"type": "fractions",
"subType": "add",
"numerator1": 6,
"denominator1": 15,
"numerator2": 4,
"denominator2": 14,
"question": "6/15 + 4/14 = ?",
"answer": "24/35",
"correctAnswer": "24/35",
"difficulty": "hard"
},
{
"id": 7,
"type": "fractions",
"subType": "multiply",
"numerator1": 2,
"denominator1": 3,
"numerator2": 9,
"denominator2": 13,
"question": "2/3 × 9/13 = ?",
"answer": "6/13",
"correctAnswer": "6/13",
"difficulty": "hard"
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{
"id": 8,
"type": "fractions",
"subType": "simplify",
"numerator1": 1,
"denominator1": 8,
"numerator2": 11,
"denominator2": 16,
"question": "Simplify 2/16 = ?",
"answer": "1/8",
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"difficulty": "hard"
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{
"id": 9,
"type": "fractions",
"subType": "multiply",
"numerator1": 1,
"denominator1": 3,
"numerator2": 4,
"denominator2": 5,
"question": "1/3 × 4/5 = ?",
"answer": "4/15",
"correctAnswer": "4/15",
"difficulty": "hard"
},
{
"id": 10,
"type": "fractions",
"subType": "simplify",
"numerator1": 1,
"denominator1": 2,
"numerator2": 6,
"denominator2": 9,
"question": "Simplify 2/4 = ?",
"answer": "1/2",
"correctAnswer": "1/2",
"difficulty": "hard"
},
{
"id": 11,
"type": "fractions",
"subType": "multiply",
"numerator1": 1,
"denominator1": 4,
"numerator2": 2,
"denominator2": 11,
"question": "1/4 × 2/11 = ?",
"answer": "1/22",
"correctAnswer": "1/22",
"difficulty": "hard"
},
{
"id": 12,
"type": "fractions",
"subType": "divide",
"numerator1": 3,
"denominator1": 5,
"numerator2": 4,
"denominator2": 5,
"question": "3/5 ÷ 4/5 = ?",
"answer": "3/4",
"correctAnswer": "3/4",
"difficulty": "hard"
},
{
"id": 13,
"type": "fractions",
"subType": "add",
"numerator1": 8,
"denominator1": 9,
"numerator2": 4,
"denominator2": 12,
"question": "8/9 + 4/12 = ?",
"answer": "11/9",
"correctAnswer": "11/9",
"difficulty": "hard"
},
{
"id": 14,
"type": "fractions",
"subType": "add",
"numerator1": 2,
"denominator1": 10,
"numerator2": 1,
"denominator2": 4,
"question": "2/10 + 1/4 = ?",
"answer": "9/20",
"correctAnswer": "9/20",
"difficulty": "hard"
},
{
"id": 15,
"type": "fractions",
"subType": "divide",
"numerator1": 1,
"denominator1": 2,
"numerator2": 1,
"denominator2": 4,
"question": "1/2 ÷ 1/4 = ?",
"answer": "2",
"correctAnswer": "2",
"difficulty": "hard"
},
{
"id": 16,
"type": "fractions",
"subType": "multiply",
"numerator1": 1,
"denominator1": 2,
"numerator2": 5,
"denominator2": 11,
"question": "1/2 × 5/11 = ?",
"answer": "5/22",
"correctAnswer": "5/22",
"difficulty": "hard"
},
{
"id": 17,
"type": "fractions",
"subType": "simplify",
"numerator1": 11,
"denominator1": 15,
"numerator2": 4,
"denominator2": 12,
"question": "Simplify 22/30 = ?",
"answer": "11/15",
"correctAnswer": "11/15",
"difficulty": "hard"
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{
"id": 18,
"type": "fractions",
"subType": "add",
"numerator1": 6,
"denominator1": 11,
"numerator2": 3,
"denominator2": 5,
"question": "6/11 + 3/5 = ?",
"answer": "63/55",
"correctAnswer": "63/55",
"difficulty": "hard"
},
{
"id": 19,
"type": "fractions",
"subType": "subtract",
"numerator1": 13,
"denominator1": 16,
"numerator2": 1,
"denominator2": 2,
"question": "13/16 - 1/2 = ?",
"answer": "5/16",
"correctAnswer": "5/16",
"difficulty": "hard"
},
{
"id": 20,
"type": "fractions",
"subType": "multiply",
"numerator1": 3,
"denominator1": 5,
"numerator2": 4,
"denominator2": 12,
"question": "3/5 × 4/12 = ?",
"answer": "1/5",
"correctAnswer": "1/5",
"difficulty": "hard"
}
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}Teaching Notes
- 11/16 × 2/13 = ?
- 5/15 - 4/15 = ?
- 2/10 - 1/5 = ?
- 2/3 + 1/14 = ?
- 7/11 - 6/12 = ?
- 6/15 + 4/14 = ?
- 2/3 × 9/13 = ?
- Simplify 2/16 = ?
- 1/3 × 4/5 = ?
- Simplify 2/4 = ?
- 1/4 × 2/11 = ?
- 3/5 ÷ 4/5 = ?
- 8/9 + 4/12 = ?
- 2/10 + 1/4 = ?
- 1/2 ÷ 1/4 = ?
- 1/2 × 5/11 = ?
- Simplify 22/30 = ?
- 6/11 + 3/5 = ?
- 13/16 - 1/2 = ?
- 3/5 × 4/12 = ?
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