Year 7 Simplifying Fractions Worksheet — Level 2 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 7 fractions worksheet.
Year 7 Simplifying Fractions Worksheet — Level 2 — Practice Set 4 — Answers
Divide the numerator and denominator by their highest common factor.
1.Simplify
Answer:
- HCF of 8 and 18 is 2
- 8 ÷ 2 = 4 and 18 ÷ 2 = 9
2.Simplify
Answer:
- HCF of 4 and 12 is 4
- 4 ÷ 4 = 1 and 12 ÷ 4 = 3
3.Simplify
Answer:
- HCF of 3 and 12 is 3
- 3 ÷ 3 = 1 and 12 ÷ 3 = 4
4.Simplify
Answer:
- HCF of 6 and 27 is 3
- 6 ÷ 3 = 2 and 27 ÷ 3 = 9
5.Simplify
Answer:
- HCF of 4 and 6 is 2
- 4 ÷ 2 = 2 and 6 ÷ 2 = 3
6.Simplify
Answer:
- HCF of 10 and 35 is 5
- 10 ÷ 5 = 2 and 35 ÷ 5 = 7
7.Simplify
Answer:
- HCF of 2 and 4 is 2
- 2 ÷ 2 = 1 and 4 ÷ 2 = 2
8.Simplify
Answer:
- HCF of 6 and 12 is 6
- 6 ÷ 6 = 1 and 12 ÷ 6 = 2
9.Simplify
Answer:
- HCF of 3 and 6 is 3
- 3 ÷ 3 = 1 and 6 ÷ 3 = 2
10.Simplify
Answer:
- HCF of 2 and 10 is 2
- 2 ÷ 2 = 1 and 10 ÷ 2 = 5
11.Simplify
Answer:
- HCF of 15 and 27 is 3
- 15 ÷ 3 = 5 and 27 ÷ 3 = 9
12.Simplify
Answer:
- HCF of 6 and 9 is 3
- 6 ÷ 3 = 2 and 9 ÷ 3 = 3
13.Simplify
Answer:
- HCF of 9 and 12 is 3
- 9 ÷ 3 = 3 and 12 ÷ 3 = 4
14.Simplify
Answer:
- HCF of 21 and 27 is 3
- 21 ÷ 3 = 7 and 27 ÷ 3 = 9
15.Simplify
Answer:
- HCF of 24 and 27 is 3
- 24 ÷ 3 = 8 and 27 ÷ 3 = 9
16.Simplify
Answer:
- HCF of 4 and 40 is 4
- 4 ÷ 4 = 1 and 40 ÷ 4 = 10
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.