Year 8 Simplifying Fractions Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 8 fractions worksheet.
Year 8 Simplifying Fractions Worksheet — Level 3 — Answers
Divide the numerator and denominator by their highest common factor.
1.Simplify
Answer:
- HCF of 27 and 45 is 9
- 27 ÷ 9 = 3 and 45 ÷ 9 = 5
2.Simplify
Answer:
- HCF of 12 and 24 is 12
- 12 ÷ 12 = 1 and 24 ÷ 12 = 2
3.Simplify
Answer:
- HCF of 12 and 30 is 6
- 12 ÷ 6 = 2 and 30 ÷ 6 = 5
4.Simplify
Answer:
- HCF of 6 and 18 is 6
- 6 ÷ 6 = 1 and 18 ÷ 6 = 3
5.Simplify
Answer:
- HCF of 8 and 56 is 8
- 8 ÷ 8 = 1 and 56 ÷ 8 = 7
6.Simplify
Answer:
- HCF of 6 and 9 is 3
- 6 ÷ 3 = 2 and 9 ÷ 3 = 3
7.Simplify
Answer:
- HCF of 10 and 20 is 10
- 10 ÷ 10 = 1 and 20 ÷ 10 = 2
8.Simplify
Answer:
- HCF of 8 and 16 is 8
- 8 ÷ 8 = 1 and 16 ÷ 8 = 2
9.Simplify
Answer:
- HCF of 4 and 6 is 2
- 4 ÷ 2 = 2 and 6 ÷ 2 = 3
10.Simplify
Answer:
- HCF of 66 and 121 is 11
- 66 ÷ 11 = 6 and 121 ÷ 11 = 11
11.Simplify
Answer:
- HCF of 10 and 12 is 2
- 10 ÷ 2 = 5 and 12 ÷ 2 = 6
12.Simplify
Answer:
- HCF of 4 and 8 is 4
- 4 ÷ 4 = 1 and 8 ÷ 4 = 2
13.Simplify
Answer:
- HCF of 30 and 36 is 6
- 30 ÷ 6 = 5 and 36 ÷ 6 = 6
14.Simplify
Answer:
- HCF of 56 and 77 is 7
- 56 ÷ 7 = 8 and 77 ÷ 7 = 11
15.Simplify
Answer:
- HCF of 12 and 60 is 12
- 12 ÷ 12 = 1 and 60 ÷ 12 = 5
16.Simplify
Answer:
- HCF of 36 and 45 is 9
- 36 ÷ 9 = 4 and 45 ÷ 9 = 5
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.