Year 8 Simplifying Fractions Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 8 fractions worksheet.
Year 8 Simplifying Fractions Worksheet — Level 3 — Practice Set 2 — Answers
Divide the numerator and denominator by their highest common factor.
1.Simplify
Answer:
- HCF of 39 and 42 is 3
- 39 ÷ 3 = 13 and 42 ÷ 3 = 14
2.Simplify
Answer:
- HCF of 10 and 50 is 10
- 10 ÷ 10 = 1 and 50 ÷ 10 = 5
3.Simplify
Answer:
- HCF of 8 and 28 is 4
- 8 ÷ 4 = 2 and 28 ÷ 4 = 7
4.Simplify
Answer:
- HCF of 90 and 110 is 10
- 90 ÷ 10 = 9 and 110 ÷ 10 = 11
5.Simplify
Answer:
- HCF of 42 and 66 is 6
- 42 ÷ 6 = 7 and 66 ÷ 6 = 11
6.Simplify
Answer:
- HCF of 6 and 36 is 6
- 6 ÷ 6 = 1 and 36 ÷ 6 = 6
7.Simplify
Answer:
- HCF of 40 and 72 is 8
- 40 ÷ 8 = 5 and 72 ÷ 8 = 9
8.Simplify
Answer:
- HCF of 32 and 60 is 4
- 32 ÷ 4 = 8 and 60 ÷ 4 = 15
9.Simplify
Answer:
- HCF of 48 and 60 is 12
- 48 ÷ 12 = 4 and 60 ÷ 12 = 5
10.Simplify
Answer:
- HCF of 4 and 12 is 4
- 4 ÷ 4 = 1 and 12 ÷ 4 = 3
11.Simplify
Answer:
- HCF of 6 and 12 is 6
- 6 ÷ 6 = 1 and 12 ÷ 6 = 2
12.Simplify
Answer:
- HCF of 45 and 55 is 5
- 45 ÷ 5 = 9 and 55 ÷ 5 = 11
13.Simplify
Answer:
- HCF of 44 and 77 is 11
- 44 ÷ 11 = 4 and 77 ÷ 11 = 7
14.Simplify
Answer:
- HCF of 9 and 18 is 9
- 9 ÷ 9 = 1 and 18 ÷ 9 = 2
15.Simplify
Answer:
- HCF of 8 and 52 is 4
- 8 ÷ 4 = 2 and 52 ÷ 4 = 13
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.