Let’s solve each problem step by step. We’ll find the factors of the numerator and denominator, pick the highest common factor (HCF), then divide both top and bottom by that number to simplify the fraction.
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Problem 1: Simplify 10/15
- Factors of 10: 1, 2, 5, 10
- Factors of 15: 1, 3, 5, 15
→ Highest common factor =
5
Divide numerator and denominator by 5:
10 ÷ 5 = 2
15 ÷ 5 = 3
→ Simplified:
2/3
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Problem 2: Simplify 12/18
- Factors of 12: 1, 2, 3, 4, 6, 12
- Factors of 18: 1, 2, 3, 6, 9, 18
→ Highest common factor =
6
Divide numerator and denominator by 6:
12 ÷ 6 = 2
18 ÷ 6 = 3
→ Simplified:
2/3
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Problem 3: Simplify 16/40
- Factors of 16: 1, 2, 4, 8, 16
- Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
→ Highest common factor =
8
Divide numerator and denominator by 8:
16 ÷ 8 = 2
40 ÷ 8 = 5
→ Simplified:
2/5
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Problem 4: Simplify 18/27
- Factors of 18: 1, 2, 3, 6, 9, 18
- Factors of 27: 1, 3, 9, 27
→ Highest common factor =
9
Divide numerator and denominator by 9:
18 ÷ 9 = 2
27 ÷ 9 = 3
→ Simplified:
2/3
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Problem 5: Simplify 14/35
- Factors of 14: 1, 2, 7, 14
- Factors of 35: 1, 5, 7, 35
→ Highest common factor =
7
Divide numerator and denominator by 7:
14 ÷ 7 = 2
35 ÷ 7 = 5
→ Simplified:
2/5
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Final Answer:
1. 10/15 =
2/3
2. 12/18 =
2/3
3. 16/40 =
2/5
4. 18/27 =
2/3
5. 14/35 =
2/5
Parent Tip: Review the logic above to help your child master the concept of greatest common factors fractions worksheet.
