Year 7 Simplifying Fractions Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 7 fractions worksheet.
Year 7 Simplifying Fractions Worksheet — Level 3 — Practice Set 4 — Answers
Divide the numerator and denominator by their highest common factor.
1.Simplify
Answer:
- HCF of 4 and 24 is 4
- 4 ÷ 4 = 1 and 24 ÷ 4 = 6
2.Simplify
Answer:
- HCF of 84 and 132 is 12
- 84 ÷ 12 = 7 and 132 ÷ 12 = 11
3.Simplify
Answer:
- HCF of 30 and 50 is 10
- 30 ÷ 10 = 3 and 50 ÷ 10 = 5
4.Simplify
Answer:
- HCF of 88 and 96 is 8
- 88 ÷ 8 = 11 and 96 ÷ 8 = 12
5.Simplify
Answer:
- HCF of 22 and 28 is 2
- 22 ÷ 2 = 11 and 28 ÷ 2 = 14
6.Simplify
Answer:
- HCF of 8 and 10 is 2
- 8 ÷ 2 = 4 and 10 ÷ 2 = 5
7.Simplify
Answer:
- HCF of 8 and 16 is 8
- 8 ÷ 8 = 1 and 16 ÷ 8 = 2
8.Simplify
Answer:
- HCF of 6 and 12 is 6
- 6 ÷ 6 = 1 and 12 ÷ 6 = 2
9.Simplify
Answer:
- HCF of 5 and 25 is 5
- 5 ÷ 5 = 1 and 25 ÷ 5 = 5
10.Simplify
Answer:
- HCF of 32 and 52 is 4
- 32 ÷ 4 = 8 and 52 ÷ 4 = 13
11.Simplify
Answer:
- HCF of 20 and 32 is 4
- 20 ÷ 4 = 5 and 32 ÷ 4 = 8
12.Simplify
Answer:
- HCF of 8 and 24 is 8
- 8 ÷ 8 = 1 and 24 ÷ 8 = 3
13.Simplify
Answer:
- HCF of 11 and 33 is 11
- 11 ÷ 11 = 1 and 33 ÷ 11 = 3
14.Simplify
Answer:
- HCF of 40 and 48 is 8
- 40 ÷ 8 = 5 and 48 ÷ 8 = 6
15.Simplify
Answer:
- HCF of 44 and 56 is 4
- 44 ÷ 4 = 11 and 56 ÷ 4 = 14
16.Simplify
Answer:
- HCF of 22 and 33 is 11
- 22 ÷ 11 = 2 and 33 ÷ 11 = 3
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.