Year 5 Maths · Equivalent fractions
Year 5 equivalent fractions worksheet
Equivalent fractions rename the same amount using a different number of equal parts. The first model shows that changing the partition does not change the marked length. Later tasks ask learners to find missing values and explain why changing only one part of a fraction changes its value.
Free · No account needed · 6 original questions · 3 A4 pages · worked answers
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Your worksheet at a glance
Open PDF to preview or print. Print pages 1–2 for questions; page 3 contains all answers and worked explanations. Select A4 and actual size (100%). Keep the answer page aside for an independent attempt.
What you'll practise
A method to use
- Keep the whole the same size when comparing fraction models.
- Multiply or divide both numerator and denominator by the same non-zero number.
- Check equivalence by matching the models or cross-multiplying the numerator and opposite denominator.
See a worked example
Rename 2/3 in sixths.
- Each third splits into two sixths, so the denominator doubles.
- Double the numerator too: 2/3 = 4/6.
A mistake to watch for
Multiplying only the denominator makes smaller pieces without increasing the selected count. To keep the amount, scale both numbers by the same factor.
Preview every worksheet question
These are the same six questions as the PDF. Use paper for calculations, sketches and explanations.
1. The bars show equal marked lengths. Complete 1/2 = ___/8.
2. Complete: 3/4 = ___/12.
3. Write 6/10 in simplest form.
4. Which fraction equals 2/3: 4/9 or 6/9?
5. A ribbon has 12 equal sections. How many sections make 3/4 of the ribbon?
6. Noah changes 2/5 to 2/10 and says the value is unchanged. What numerator is needed over 10 to keep the value 2/5? Explain.
Answer key and worked solutions
The PDF includes this answer page. Reveal the HTML version when you are ready to compare your method.
Show all six answers and explanations
- 4
Each half contains four eighths, so 1/2 = 4/8.
- 9
The denominator is multiplied by 3. Multiply the numerator by 3 too: 3 × 3 = 9.
- 3/5
Divide both 6 and 10 by their common factor 2: 6/10 = 3/5.
- 6/9
Multiply both parts of 2/3 by 3: 2/3 = 6/9. The fraction 4/9 is a different amount.
- 9 sections
One quarter is 3 sections. Three quarters is 3 × 3 = 9 sections.
- 4
The denominator doubles, so the numerator must double: 2/5 = 4/10. Keeping 2 as the numerator would halve the amount.
For parents and teachers
Invite a learner to draw extra dividing lines through a fraction bar rather than colouring a new amount. Ask what stayed the same. For the final question, discuss why a tempting denominator-only change fails. The companion page offers further models and immediate feedback on equivalent fractions.
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