Free Fraction Worksheets With Answers
These free fraction worksheets run from recognising equivalent fractions in grade 3 to dividing fractions in grade 6, with every answer worked through step by step. Fractions are where a lot of students first lose confidence in math, so the questions are ordered to expose exactly which step breaks down. When you are ready to assess, the same skills can be generated as a printable fractions test with an answer key.
Grades 3–6 · 9 free questions with worked answers · No sign-up to practise
Skills covered in these fraction worksheets
- Recognising and writing equivalent fractions
- Comparing and ordering fractions
- Simplifying fractions to lowest terms
- Adding and subtracting fractions with unlike denominators
- Multiplying fractions and mixed numbers
- Dividing fractions using the reciprocal
Free fraction practice questions with answers
Every question below includes the final answer and the steps behind it, so the sheet doubles as its own answer key. Filter by grade or difficulty to build the set you need.
- Question 1easyGrade 3
Which is larger, 3/4 or 2/3?
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Answer: 3/4
Rewrite with a denominator of 12: 3/4 = 9/12 and 2/3 = 8/12. Since 9/12 > 8/12, three quarters is larger.
- Question 2easyGrade 4
Simplify 8/12 to its lowest terms.
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Answer: 2/3
The greatest common factor of 8 and 12 is 4. Dividing both parts by 4 gives 2/3.
- Question 3easyGrade 3
Write a fraction equivalent to 1/4 with a denominator of 20.
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Answer: 5/20
To turn 4 into 20 you multiply by 5, so multiply the numerator by 5 as well: 1 × 5 = 5, giving 5/20.
- Question 4mediumGrade 5
1/2 + 1/3 = ?
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Answer: 5/6
The least common denominator is 6. Rewrite as 3/6 + 2/6, then add the numerators to get 5/6.
- Question 5mediumGrade 5
3/4 − 2/5 = ?
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Answer: 7/20
The least common denominator is 20. Rewrite as 15/20 − 8/20, which leaves 7/20.
- Question 6mediumGrade 5
2/3 × 3/5 = ?
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Answer: 2/5
Multiply straight across: 2 × 3 = 6 and 3 × 5 = 15, giving 6/15. Simplifying by 3 gives 2/5. No common denominator is needed.
- Question 7hardGrade 6
3/4 ÷ 2/3 = ?
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Answer: 9/8, or 1 1/8
Multiply by the reciprocal of the second fraction: 3/4 × 3/2 = 9/8. As a mixed number that is 1 1/8.
- Question 8hardGrade 6
2 1/2 × 1 3/5 = ?
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Answer: 4
Convert to improper fractions: 5/2 × 8/5. Multiply across to get 40/10, which simplifies to 4.
- Question 9hardGrade 6
A recipe needs 3/4 cup of flour. How many full batches can be made from 6 cups?
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Answer: 8 batches
6 ÷ 3/4 = 6 × 4/3 = 24/3 = 8. Dividing by a fraction less than one gives a larger result.
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Why fractions are the usual sticking point
Whole-number intuition works against students when they meet fractions. Multiplying usually makes numbers bigger, but multiplying by a fraction less than one makes them smaller. Dividing usually makes numbers smaller, but dividing by a fraction less than one makes them larger. Until a student can explain why 6 ÷ ½ = 12, they are following a procedure rather than reasoning, and the procedure will fail as soon as the question is worded differently.
Common denominators before adding
Adding fractions requires a common denominator; multiplying does not. That single asymmetry causes more errors than any other rule in the topic, because students who have just mastered finding common denominators often apply the same step to multiplication. The medium questions below deliberately alternate between the two so the difference is forced into the open rather than assumed.
Common mistakes to watch for
- Adding numerators and denominators separately, so 1/2 + 1/3 is written as 2/5.
- Finding a common denominator before multiplying, when multiplication needs no common denominator.
- Forgetting to simplify the final answer, which costs marks even when the arithmetic is right.
- Flipping the wrong fraction when dividing — the second fraction is the one that gets inverted.