Year 8 Simplifying Fractions Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 8 fractions worksheet.
Year 8 Simplifying Fractions Worksheet — Level 3 — Practice Set 4 — Answers
Divide the numerator and denominator by their highest common factor.
1.Simplify
Answer:
- HCF of 16 and 18 is 2
- 16 ÷ 2 = 8 and 18 ÷ 2 = 9
2.Simplify
Answer:
- HCF of 12 and 84 is 12
- 12 ÷ 12 = 1 and 84 ÷ 12 = 7
3.Simplify
Answer:
- HCF of 10 and 15 is 5
- 10 ÷ 5 = 2 and 15 ÷ 5 = 3
4.Simplify
Answer:
- HCF of 7 and 14 is 7
- 7 ÷ 7 = 1 and 14 ÷ 7 = 2
5.Simplify
Answer:
- HCF of 2 and 10 is 2
- 2 ÷ 2 = 1 and 10 ÷ 2 = 5
6.Simplify
Answer:
- HCF of 108 and 156 is 12
- 108 ÷ 12 = 9 and 156 ÷ 12 = 13
7.Simplify
Answer:
- HCF of 22 and 33 is 11
- 22 ÷ 11 = 2 and 33 ÷ 11 = 3
8.Simplify
Answer:
- HCF of 8 and 12 is 4
- 8 ÷ 4 = 2 and 12 ÷ 4 = 3
9.Simplify
Answer:
- HCF of 54 and 99 is 9
- 54 ÷ 9 = 6 and 99 ÷ 9 = 11
10.Simplify
Answer:
- HCF of 5 and 10 is 5
- 5 ÷ 5 = 1 and 10 ÷ 5 = 2
11.Simplify
Answer:
- HCF of 35 and 45 is 5
- 35 ÷ 5 = 7 and 45 ÷ 5 = 9
12.Simplify
Answer:
- HCF of 22 and 26 is 2
- 22 ÷ 2 = 11 and 26 ÷ 2 = 13
13.Simplify
Answer:
- HCF of 6 and 27 is 3
- 6 ÷ 3 = 2 and 27 ÷ 3 = 9
14.Simplify
Answer:
- HCF of 18 and 42 is 6
- 18 ÷ 6 = 3 and 42 ÷ 6 = 7
15.Simplify
Answer:
- HCF of 11 and 22 is 11
- 11 ÷ 11 = 1 and 22 ÷ 11 = 2
16.Simplify
Answer:
- HCF of 77 and 99 is 11
- 77 ÷ 11 = 7 and 99 ÷ 11 = 9
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.