Grade 5 Equivalent Fractions worksheet
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How to explain it
- Equivalent fractions name the same amount.
- Multiply the top and bottom by the same number to make one.
- Divide the top and bottom by the same number to simplify.
Example: Write a fraction equivalent to 2/3 with a denominator of 12. 3 × 4 = 12, so multiply the top by 4 too. 2 × 4 = 8. Answer: 8/12
Question 1
What number goes in the box to make the fractions equivalent?
2/3 = /6
answer box
4
Hint: What was 3 multiplied by to get 6? Multiply the numerator by the same number.
Question 2
Which fraction is greater than 1/2?
- 9/11
- 1/5
- 6/12
- 1/4
9/11
Hint: A fraction is greater than 1/2 when its numerator is more than half of its denominator. Exactly half means it equals 1/2.
Question 3
Put these fractions in order from least to greatest.
- 2/5
- 1/2
- 4/5
- 9/10
2/5 → 1/2 → 4/5 → 9/10
Hint: Compare with benchmarks (0, 1/2, 1), or rename the fractions with a common denominator. When numerators match, the greater denominator means smaller pieces.
Question 4
Which fraction is NOT equivalent to 3/4?
- 12/16
- 9/12
- 5/6
- 6/8
5/6
Hint: For each fraction, check: were the numerator and denominator both multiplied by the same number? Adding the same number to both does not keep a fraction equivalent.
Question 5
Is 4/6 closest to 0, 1/2 or 1?
- 0
- 1/2
- 1
1/2
Hint: Half of 6 is 3. Compare the numerator 4 with that: much smaller is near 0, about the same is near 1/2, and close to 6 is near 1.
Question 6
A garden has 10 plants. 3/5 of them are tomato plants. How many tomato plants are there?
answer box
6
Hint: Write 3/5 as an equivalent fraction with a denominator of 10. Its numerator is the answer.
Question 7
Which fraction is equivalent to 2/3?
- 4/5
- 2/6
- 4/6
- 4/3
4/6
Hint: Equivalent fractions come from multiplying (or dividing) the numerator and the denominator by the same number.
Question 8
What fraction is shaded? (Any equivalent fraction is correct.)
answer box
2/6
Hint: The numerator is the number of shaded parts. The denominator is the number of equal parts in the whole shape.
Question 9
Is 2/5 closest to 0, 1/2 or 1?
- 0
- 1/2
- 1
1/2
Hint: Half of 5 is 2.5. Compare the numerator 2 with that: much smaller is near 0, about the same is near 1/2, and close to 5 is near 1.
Question 10
Which fraction is NOT equivalent to 1/2?
- 3/6
- 3/4
- 5/10
- 2/4
3/4
Hint: For each fraction, check: were the numerator and denominator both multiplied by the same number? Adding the same number to both does not keep a fraction equivalent.
Answer key
- 1. 4
- 2. 9/11
- 3. 2/5 → 1/2 → 4/5 → 9/10
- 4. 5/6
- 5. 1/2
- 6. 6
- 7. 4/6
- 8. 2/6
- 9. 1/2
- 10. 3/4
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