Year 7 Simplifying Fractions Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 7 fractions worksheet.
Year 7 Simplifying Fractions Worksheet — Level 2 — Practice Set 3 — Answers
Divide the numerator and denominator by their highest common factor.
1.Simplify
Answer:
- HCF of 21 and 24 is 3
- 21 ÷ 3 = 7 and 24 ÷ 3 = 8
2.Simplify
Answer:
- HCF of 40 and 45 is 5
- 40 ÷ 5 = 8 and 45 ÷ 5 = 9
3.Simplify
Answer:
- HCF of 6 and 12 is 6
- 6 ÷ 6 = 1 and 12 ÷ 6 = 2
4.Simplify
Answer:
- HCF of 6 and 18 is 6
- 6 ÷ 6 = 1 and 18 ÷ 6 = 3
5.Simplify
Answer:
- HCF of 3 and 6 is 3
- 3 ÷ 3 = 1 and 6 ÷ 3 = 2
6.Simplify
Answer:
- HCF of 9 and 15 is 3
- 9 ÷ 3 = 3 and 15 ÷ 3 = 5
7.Simplify
Answer:
- HCF of 6 and 24 is 6
- 6 ÷ 6 = 1 and 24 ÷ 6 = 4
8.Simplify
Answer:
- HCF of 5 and 15 is 5
- 5 ÷ 5 = 1 and 15 ÷ 5 = 3
9.Simplify
Answer:
- HCF of 15 and 20 is 5
- 15 ÷ 5 = 3 and 20 ÷ 5 = 4
10.Simplify
Answer:
- HCF of 12 and 15 is 3
- 12 ÷ 3 = 4 and 15 ÷ 3 = 5
11.Simplify
Answer:
- HCF of 9 and 12 is 3
- 9 ÷ 3 = 3 and 12 ÷ 3 = 4
12.Simplify
Answer:
- HCF of 5 and 25 is 5
- 5 ÷ 5 = 1 and 25 ÷ 5 = 5
13.Simplify
Answer:
- HCF of 20 and 25 is 5
- 20 ÷ 5 = 4 and 25 ÷ 5 = 5
14.Simplify
Answer:
- HCF of 4 and 6 is 2
- 4 ÷ 2 = 2 and 6 ÷ 2 = 3
15.Simplify
Answer:
- HCF of 5 and 10 is 5
- 5 ÷ 5 = 1 and 10 ÷ 5 = 2
16.Simplify
Answer:
- HCF of 2 and 6 is 2
- 2 ÷ 2 = 1 and 6 ÷ 2 = 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.