Workbook Detail
Fractions Quarters Hard — Set 23
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"operation": "fractions",
"subject": "arithmetic",
"difficulty": "hard",
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{
"id": 1,
"type": "fractions",
"subType": "multiply",
"numerator1": 5,
"denominator1": 10,
"numerator2": 7,
"denominator2": 10,
"question": "5/10 × 7/10 = ?",
"answer": "7/20",
"correctAnswer": "7/20",
"difficulty": "hard"
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{
"id": 2,
"type": "fractions",
"subType": "simplify",
"numerator1": 3,
"denominator1": 5,
"numerator2": 2,
"denominator2": 3,
"question": "Simplify 12/20 = ?",
"answer": "3/5",
"correctAnswer": "3/5",
"difficulty": "hard"
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{
"id": 3,
"type": "fractions",
"subType": "add",
"numerator1": 13,
"denominator1": 14,
"numerator2": 4,
"denominator2": 14,
"question": "13/14 + 4/14 = ?",
"answer": "17/14",
"correctAnswer": "17/14",
"difficulty": "hard"
},
{
"id": 4,
"type": "fractions",
"subType": "divide",
"numerator1": 1,
"denominator1": 3,
"numerator2": 1,
"denominator2": 4,
"question": "1/3 ÷ 1/4 = ?",
"answer": "4/3",
"correctAnswer": "4/3",
"difficulty": "hard"
},
{
"id": 5,
"type": "fractions",
"subType": "subtract",
"numerator1": 1,
"denominator1": 2,
"numerator2": 1,
"denominator2": 4,
"question": "1/2 - 1/4 = ?",
"answer": "1/4",
"correctAnswer": "1/4",
"difficulty": "hard"
},
{
"id": 6,
"type": "fractions",
"subType": "add",
"numerator1": 10,
"denominator1": 16,
"numerator2": 5,
"denominator2": 15,
"question": "10/16 + 5/15 = ?",
"answer": "23/24",
"correctAnswer": "23/24",
"difficulty": "hard"
},
{
"id": 7,
"type": "fractions",
"subType": "add",
"numerator1": 7,
"denominator1": 8,
"numerator2": 9,
"denominator2": 13,
"question": "7/8 + 9/13 = ?",
"answer": "163/104",
"correctAnswer": "163/104",
"difficulty": "hard"
},
{
"id": 8,
"type": "fractions",
"subType": "simplify",
"numerator1": 7,
"denominator1": 13,
"numerator2": 8,
"denominator2": 16,
"question": "Simplify 28/52 = ?",
"answer": "7/13",
"correctAnswer": "7/13",
"difficulty": "hard"
},
{
"id": 10,
"type": "fractions",
"subType": "multiply",
"numerator1": 10,
"denominator1": 13,
"numerator2": 3,
"denominator2": 4,
"question": "10/13 × 3/4 = ?",
"answer": "15/26",
"correctAnswer": "15/26",
"difficulty": "hard"
},
{
"id": 11,
"type": "fractions",
"subType": "divide",
"numerator1": 2,
"denominator1": 11,
"numerator2": 7,
"denominator2": 8,
"question": "2/11 ÷ 7/8 = ?",
"answer": "16/77",
"correctAnswer": "16/77",
"difficulty": "hard"
},
{
"id": 12,
"type": "fractions",
"subType": "add",
"numerator1": 1,
"denominator1": 2,
"numerator2": 2,
"denominator2": 5,
"question": "1/2 + 2/5 = ?",
"answer": "9/10",
"correctAnswer": "9/10",
"difficulty": "hard"
},
{
"id": 13,
"type": "fractions",
"subType": "add",
"numerator1": 5,
"denominator1": 6,
"numerator2": 2,
"denominator2": 4,
"question": "5/6 + 2/4 = ?",
"answer": "4/3",
"correctAnswer": "4/3",
"difficulty": "hard"
},
{
"id": 14,
"type": "fractions",
"subType": "add",
"numerator1": 5,
"denominator1": 15,
"numerator2": 9,
"denominator2": 10,
"question": "5/15 + 9/10 = ?",
"answer": "37/30",
"correctAnswer": "37/30",
"difficulty": "hard"
},
{
"id": 15,
"type": "fractions",
"subType": "divide",
"numerator1": 12,
"denominator1": 15,
"numerator2": 3,
"denominator2": 14,
"question": "12/15 ÷ 3/14 = ?",
"answer": "56/15",
"correctAnswer": "56/15",
"difficulty": "hard"
},
{
"id": 16,
"type": "fractions",
"subType": "divide",
"numerator1": 1,
"denominator1": 6,
"numerator2": 1,
"denominator2": 2,
"question": "1/6 ÷ 1/2 = ?",
"answer": "1/3",
"correctAnswer": "1/3",
"difficulty": "hard"
},
{
"id": 17,
"type": "fractions",
"subType": "divide",
"numerator1": 4,
"denominator1": 9,
"numerator2": 1,
"denominator2": 16,
"question": "4/9 ÷ 1/16 = ?",
"answer": "64/9",
"correctAnswer": "64/9",
"difficulty": "hard"
},
{
"id": 18,
"type": "fractions",
"subType": "multiply",
"numerator1": 1,
"denominator1": 3,
"numerator2": 5,
"denominator2": 15,
"question": "1/3 × 5/15 = ?",
"answer": "1/9",
"correctAnswer": "1/9",
"difficulty": "hard"
},
{
"id": 19,
"type": "fractions",
"subType": "multiply",
"numerator1": 3,
"denominator1": 13,
"numerator2": 10,
"denominator2": 14,
"question": "3/13 × 10/14 = ?",
"answer": "15/91",
"correctAnswer": "15/91",
"difficulty": "hard"
},
{
"id": 20,
"type": "fractions",
"subType": "simplify",
"numerator1": 5,
"denominator1": 7,
"numerator2": 2,
"denominator2": 3,
"question": "Simplify 20/28 = ?",
"answer": "5/7",
"correctAnswer": "5/7",
"difficulty": "hard"
}
],
"layout": {
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"problemsPerPage": 20
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"_archetype": "form-exercise",
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}Teaching Notes
- 5/10 × 7/10 = ?
- Simplify 12/20 = ?
- 13/14 + 4/14 = ?
- 1/3 ÷ 1/4 = ?
- 1/2 - 1/4 = ?
- 10/16 + 5/15 = ?
- 7/8 + 9/13 = ?
- Simplify 28/52 = ?
- 10/13 × 3/4 = ?
- 2/11 ÷ 7/8 = ?
- 1/2 + 2/5 = ?
- 5/6 + 2/4 = ?
- 5/15 + 9/10 = ?
- 12/15 ÷ 3/14 = ?
- 1/6 ÷ 1/2 = ?
- 4/9 ÷ 1/16 = ?
- 1/3 × 5/15 = ?
- 3/13 × 10/14 = ?
- Simplify 20/28 = ?
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