Factors, Multiples, and Fractions

Name:

Date:

📚 Part 1: Factors and Multiples

WALT: We Are Learning To find highest common factors and lowest common multiples.

Success criteria: I can list factors and multiples, find the HCF and LCM, and show my working clearly.

1. Find the HCF of 84 and 96.

2. Find the LCM of 60 and 72.

3. Find both the HCF and the LCM of 7 and 12.

✏️ Part 2: Fractions

WALT: We Are Learning To simplify, compare, and add fractions.

Success criteria: I can divide the numerator and denominator by a common factor, identify equivalent fractions, and find common denominators when adding.

4. Simplify each fraction.

a) 24/40 = _________ b) 36/40 = _________

5. Tick all the fractions equivalent to 3/5.

12/20

21/30

24/40

14/21

30/50

6. Add the fractions. Give your answer in its simplest form.

22/40 + 18/40 = _________

7. Add the fractions. Show how you find a common denominator.

7/12 + 2/5 = _________

🌟 Part 3: Support and Extension

Support: Use a factor list, a multiples list, or a multiplication chart. You may write each step on a separate line and use a ruler to keep your work organised.

Dyslexia-friendly option: Read each question aloud, use a coloured overlay or plain paper to cover other questions, and circle important numbers before solving.

Extension: Create two different fractions equivalent to 5/8. Then add them and simplify your answer.