Part 1: Build Equivalent Fractions

WALT: We Are Learning To recognise and generate equivalent fractions by multiplying the numerator and denominator by the same number.

Worked example

To make an equivalent fraction, multiply the top and bottom by the same number.

1/2 × 3 = 3/6

The fractions 1/2 and 3/6 have the same value.

Remember: whatever you do to the numerator, do to the denominator.

Section A: Match the equivalent fractions

Draw a line from each fraction on the left to its equivalent fraction on the right.

Section B: Find the missing number

Multiply the numerator and denominator by the same number. Show your working.

Support prompt: Ask yourself, “What did the denominator get multiplied by?” Then use the same multiplier for the numerator.

Part 2: Convert and Compare

Section C: Convert to the specified denominator

Make an equivalent fraction with the denominator shown. If it is not possible, explain why.

Section D: Compare the fractions

Write <, > or =. Create equivalent fractions to help you.

Support prompt: Change the fraction with the smaller denominator so both fractions have the same denominator.

Part 3: Challenge, Reflect and Check

Challenge

Find three different fractions equivalent to 2/5. Write the multiplier you used each time.

Explain why 3/6, 4/8 and 5/10 are all equivalent to 1/2.

Self-check reflection

Complete these sentences.

I know fractions are equivalent when ____________________________________________.

One strategy that helped me was ________________________________________________.

My confidence today:  

Not yet   Getting there   Confident

Answer key

1. B: 1/2 = 3/6

2. C: 2/3 = 8/12

3. A: 3/4 = 9/12

4. 2/5 = 6/15; multiply by 3.

5. 3/4 = 12/16; multiply by 4.

6. 4/7 = 12/21; multiply by 3.

7. 3/5 = 12/20; multiply by 4.

8. 2/3 = 8/12; multiply by 4.

9. No. 24 is not a multiple of 8, so 5/8 cannot be converted to an equivalent fraction with denominator 24 using a whole-number multiplier.

10. 3/4 = 6/8, so 3/4 > 5/8.

11. 2/3 = 6/9, so 4/9 < 2/3.

Challenge: Answers may include 4/10, 6/15 and 8/20. The multipliers are 2, 3 and 4.