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 36 and 44 is 4
- 36 ÷ 4 = 9 and 44 ÷ 4 = 11
2.Simplify
Answer:
- HCF of 40 and 70 is 10
- 40 ÷ 10 = 4 and 70 ÷ 10 = 7
3.Simplify
Answer:
- HCF of 132 and 144 is 12
- 132 ÷ 12 = 11 and 144 ÷ 12 = 12
4.Simplify
Answer:
- HCF of 7 and 14 is 7
- 7 ÷ 7 = 1 and 14 ÷ 7 = 2
5.Simplify
Answer:
- HCF of 45 and 126 is 9
- 45 ÷ 9 = 5 and 126 ÷ 9 = 14
6.Simplify
Answer:
- HCF of 110 and 120 is 10
- 110 ÷ 10 = 11 and 120 ÷ 10 = 12
7.Simplify
Answer:
- HCF of 10 and 20 is 10
- 10 ÷ 10 = 1 and 20 ÷ 10 = 2
8.Simplify
Answer:
- HCF of 9 and 15 is 3
- 9 ÷ 3 = 3 and 15 ÷ 3 = 5
9.Simplify
Answer:
- HCF of 3 and 9 is 3
- 3 ÷ 3 = 1 and 9 ÷ 3 = 3
10.Simplify
Answer:
- HCF of 2 and 8 is 2
- 2 ÷ 2 = 1 and 8 ÷ 2 = 4
11.Simplify
Answer:
- HCF of 12 and 96 is 12
- 12 ÷ 12 = 1 and 96 ÷ 12 = 8
12.Simplify
Answer:
- HCF of 15 and 18 is 3
- 15 ÷ 3 = 5 and 18 ÷ 3 = 6
13.Simplify
Answer:
- HCF of 4 and 28 is 4
- 4 ÷ 4 = 1 and 28 ÷ 4 = 7
14.Simplify
Answer:
- HCF of 12 and 24 is 12
- 12 ÷ 12 = 1 and 24 ÷ 12 = 2
15.Simplify
Answer:
- HCF of 90 and 100 is 10
- 90 ÷ 10 = 9 and 100 ÷ 10 = 10
16.Simplify
Answer:
- HCF of 48 and 132 is 12
- 48 ÷ 12 = 4 and 132 ÷ 12 = 11
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.