Year 5 Maths · Fraction calculations
Year 5 fractions worksheet
Keep the size of a fractional part fixed while combining or removing parts. This resource links like-denominator addition and subtraction with fractions of quantities. A short error-analysis question asks learners to explain why adding denominators changes the unit being counted.
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
- For like-denominator calculations, name the equal-sized parts you are counting.
- Add or subtract the numerators while keeping the denominator unchanged.
- For a fraction of a quantity, find one equal share first, then take the required number of shares.
See a worked example
Add 2/7 and 3/7.
- Both fractions count sevenths, so the pieces have the same size.
- Two sevenths plus three sevenths is five sevenths: 2/7 + 3/7 = 5/7.
A mistake to watch for
Adding denominators would rename the pieces. Three eighths plus two eighths counts five eighths, not five sixteenths.
Preview every worksheet question
These are the same six questions as the PDF. Use paper for calculations, sketches and explanations.
1. Write the fraction marked on the bar. Give an equivalent simplest form too.
2. Calculate 2/9 + 4/9.
3. A jug contains 7/10 litre. You pour out 3/10 litre. How much remains?
4. Find 3/5 of 25 stickers.
5. A walker completes 3/8 of a track, then another 2/8 of the same track. What fraction is completed?
6. Mila writes 1/6 + 2/6 = 3/12. Write the correct sum and explain the denominator.
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
- 6/8 = 3/4
Six of eight equal parts are marked. Dividing numerator and denominator by 2 gives 3/4.
- 6/9
Add the counts of ninths: 2 + 4 = 6, giving 6/9. The simplified answer 2/3 is equivalent.
- 4/10 litre
Subtract the counts of tenths: 7 − 3 = 4. The remaining amount is 4/10 litre, also 2/5 litre.
- 15 stickers
One fifth of 25 is 5. Three fifths is 3 × 5 = 15.
- 5/8
Both distances are parts of the same track. Add 3 eighths and 2 eighths to get 5/8.
- 3/6
The pieces remain sixths. Count 1 + 2 = 3 sixths, giving 3/6, equivalent to 1/2. Do not add the denominators.
For parents and teachers
Ask the learner to name the fraction unit aloud, such as ninths, before calculating. Encourage an estimate of whether the result is above or below one half. Equivalent simplified answers are accepted in the key. Use the fraction companion for an immediate feedback check after discussing a method.
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