To reduce each fraction, we find the Greatest Common Factor (GCF) of the numerator and denominator, then divide both by that number.
Let’s go one by one:
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1. 8/56
Factors of 8: 1, 2, 4, 8
Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
→ GCF = 8
8 ÷ 8 = 1
56 ÷ 8 = 7
→
1/7
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2. 20/22
Factors of 20: 1, 2, 4, 5, 10, 20
Factors of 22: 1, 2, 11, 22
→ GCF = 2
20 ÷ 2 = 10
22 ÷ 2 = 11
→
10/11
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3. 42/48
Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
→ GCF = 6
42 ÷ 6 = 7
48 ÷ 6 = 8
→
7/8
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4. 15/36
Factors of 15: 1, 3, 5, 15
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
→ GCF = 3
15 ÷ 3 = 5
36 ÷ 3 = 12
→
5/12
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5. 63/77
Factors of 63: 1, 3, 7, 9, 21, 63
Factors of 77: 1, 7, 11, 77
→ GCF = 7
63 ÷ 7 = 9
77 ÷ 7 = 11
→
9/11
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6. 24/42
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
→ GCF = 6
24 ÷ 6 = 4
42 ÷ 6 = 7
→
4/7
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7. 80/110
Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Factors of 110: 1, 2, 5, 10, 11, 22, 55, 110
→ GCF = 10
80 ÷ 10 = 8
110 ÷ 10 = 11
→
8/11
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8. 35/56
Factors of 35: 1, 5, 7, 35
Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
→ GCF = 7
35 ÷ 7 = 5
56 ÷ 7 = 8
→
5/8
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9. 40/72
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
→ GCF = 8
40 ÷ 8 = 5
72 ÷ 8 = 9
→
5/9
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10. 18/81
Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 81: 1, 3, 9, 27, 81
→ GCF = 9
18 ÷ 9 = 2
81 ÷ 9 = 9
→
2/9
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Final Answer:
1. 1/7
2. 10/11
3. 7/8
4. 5/12
5. 9/11
6. 4/7
7. 8/11
8. 5/8
9. 5/9
10. 2/9
Parent Tip: Review the logic above to help your child master the concept of reducing fraction worksheet for grade 4.
