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Equivalent fractions Worksheet (4th grade)

Mathematics · 4th grade

Name:
Date:
1.

Which fraction is equivalent to 1/2?

A.1/3
B.2/4
C.3/6
D.4/8
2.

What number goes in the box to make the fractions equivalent? 2/4 = 3/□

A.5
B.6
C.7
D.8
3.

Which of these fractions is equal to 4/8?

A.1/4
B.1/2
C.2/3
D.3/4
4.

If you multiply the top and bottom of 2/3 by 2, what is the new fraction?

A.4/6
B.4/3
C.2/6
D.4/5
5.

Which fraction is equivalent to 5/10?

A.1/5
B.1/2
C.2/5
D.3/5
6.

To make the fraction 2/4 equivalent to 6/12, we multiply the numerator and denominator by ___.

7.

The fraction 3/5 is equivalent to ___.

8.

The fraction 1/2 is equivalent to 2/4.

TrueFalse
9.

The fraction 3/4 is equivalent to 3/8.

TrueFalse
10.

Find two fractions that are equivalent to 1/2.

Answer Key

1.

Which fraction is equivalent to 1/2?

Answer: B

To find an equivalent fraction, multiply the top and bottom by the same number. 1 x 2 = 2 and 2 x 2 = 4, so 1/2 is the same as 2/4.

2.

What number goes in the box to make the fractions equivalent? 2/4 = 3/□

Answer: B

To get from 2 to 3 in the top number, you add 1 or think of it as 1.5 times. However, a simpler way for grade 4 is to simplify 2/4 to 1/2. Then, to get from 1 to 3, you multiply by 3. So you must multiply the bottom 2 by 3, which gives 6.

3.

Which of these fractions is equal to 4/8?

Answer: B

You can simplify 4/8 by dividing both the top and bottom by 4. 4 divided by 4 is 1, and 8 divided by 4 is 2. So, 4/8 is the same as 1/2.

4.

If you multiply the top and bottom of 2/3 by 2, what is the new fraction?

Answer: A

Multiply the top number: 2 x 2 = 4. Multiply the bottom number: 3 x 2 = 6. The new fraction is 4/6.

5.

Which fraction is equivalent to 5/10?

Answer: B

To simplify 5/10, divide the top and bottom by 5. 5 divided by 5 is 1, and 10 divided by 5 is 2. So, 5/10 is the same as 1/2.

6.

To make the fraction 2/4 equivalent to 6/12, we multiply the numerator and denominator by ___.

Answer: 3

Multiplying the numerator 2 by 3 gives 6, and multiplying the denominator 4 by 3 gives 12.

7.

The fraction 3/5 is equivalent to ___.

Answer: 6/10

Multiplying both the numerator and the denominator of 3/5 by 2 results in 6/10.

8.

The fraction 1/2 is equivalent to 2/4.

Answer: True

Both fractions represent the same amount. If you multiply the top and bottom of 1/2 by 2, you get 2/4.

9.

The fraction 3/4 is equivalent to 3/8.

Answer: False

These fractions are not the same. 3/4 is a larger amount than 3/8 because the pieces in 3/4 are bigger.

10.

Find two fractions that are equivalent to 1/2.

Answer: Two fractions equivalent to 1/2 are 2/4 and 3/6. You can find these by multiplying the top number (numerator) and the bottom number (denominator) by the same number. For example, 1 x 2 = 2 and 2 x 2 = 4, so 2/4 is equivalent. Also, 1 x 3 = 3 and 2 x 3 = 6, so 3/6 is equivalent.