Year 7 Simplifying Fractions Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 7 fractions worksheet.
Year 7 Simplifying Fractions Worksheet — Level 3 — Practice Set 2 — Answers
Divide the numerator and denominator by their highest common factor.
1.Simplify
Answer:
- HCF of 35 and 63 is 7
- 35 ÷ 7 = 5 and 63 ÷ 7 = 9
2.Simplify
Answer:
- HCF of 54 and 63 is 9
- 54 ÷ 9 = 6 and 63 ÷ 9 = 7
3.Simplify
Answer:
- HCF of 72 and 156 is 12
- 72 ÷ 12 = 6 and 156 ÷ 12 = 13
4.Simplify
Answer:
- HCF of 30 and 42 is 6
- 30 ÷ 6 = 5 and 42 ÷ 6 = 7
5.Simplify
Answer:
- HCF of 81 and 90 is 9
- 81 ÷ 9 = 9 and 90 ÷ 9 = 10
6.Simplify
Answer:
- HCF of 14 and 21 is 7
- 14 ÷ 7 = 2 and 21 ÷ 7 = 3
7.Simplify
Answer:
- HCF of 48 and 56 is 8
- 48 ÷ 8 = 6 and 56 ÷ 8 = 7
8.Simplify
Answer:
- HCF of 10 and 25 is 5
- 10 ÷ 5 = 2 and 25 ÷ 5 = 5
9.Simplify
Answer:
- HCF of 4 and 8 is 4
- 4 ÷ 4 = 1 and 8 ÷ 4 = 2
10.Simplify
Answer:
- HCF of 70 and 77 is 7
- 70 ÷ 7 = 10 and 77 ÷ 7 = 11
11.Simplify
Answer:
- HCF of 18 and 20 is 2
- 18 ÷ 2 = 9 and 20 ÷ 2 = 10
12.Simplify
Answer:
- HCF of 4 and 16 is 4
- 4 ÷ 4 = 1 and 16 ÷ 4 = 4
13.Simplify
Answer:
- HCF of 4 and 20 is 4
- 4 ÷ 4 = 1 and 20 ÷ 4 = 5
14.Simplify
Answer:
- HCF of 2 and 10 is 2
- 2 ÷ 2 = 1 and 10 ÷ 2 = 5
15.Simplify
Answer:
- HCF of 12 and 18 is 6
- 12 ÷ 6 = 2 and 18 ÷ 6 = 3
16.Simplify
Answer:
- HCF of 40 and 150 is 10
- 40 ÷ 10 = 4 and 150 ÷ 10 = 15
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.