Math: Equivalent Fractions Worksheet

Question 1

Write a fraction that is equivalent to 1/2 by multiplying the numerator and denominator by 2.

Accepted Answer

A fraction equivalent to 1/2 is 2/4 because multiplying both 1 and 2 by 2 gives 2/4.

Question 2

Write a fraction that is equivalent to 3/4 by multiplying the numerator and denominator by 2.

Accepted Answer

A fraction equivalent to 3/4 is 6/8 because multiplying both 3 and 4 by 2 gives 6/8.

Question 3

Fill in the blank: 2/3 = __/6

Accepted Answer

The missing numerator is 4, so 2/3 = 4/6. Both parts were multiplied by 2.

Question 4

Fill in the blank: 5/8 = __/16

Accepted Answer

The missing numerator is 10, so 5/8 = 10/16. Both parts were multiplied by 2.

Question 5

Are 2/6 and 1/3 equivalent fractions? Explain how you know.

Accepted Answer

Yes, 2/6 and 1/3 are equivalent fractions because 2/6 can be simplified by dividing the numerator and denominator by 2, which gives 1/3.

Question 6

Are 3/5 and 6/10 equivalent fractions? Explain how you know.

Accepted Answer

Yes, 3/5 and 6/10 are equivalent fractions because multiplying the numerator and denominator of 3/5 by 2 gives 6/10.

Question 7

Circle the fraction that is equivalent to 4/8: 1/2, 2/3, 3/8

Accepted Answer

The fraction equivalent to 4/8 is 1/2 because 4/8 simplifies to 1/2 when both numbers are divided by 4.

Question 8

Circle all fractions that are equivalent to 2/5: 4/10, 6/15, 8/20, 3/5

Accepted Answer

The fractions equivalent to 2/5 are 4/10, 6/15, and 8/20 because each one can be simplified to 2/5. The fraction 3/5 is not equivalent.

Question 9

Complete the pattern: 1/4, 2/8, 3/12, __/16

Accepted Answer

The missing fraction is 4/16 because all of the fractions in the pattern are equivalent to 1/4.

Question 10

A rectangle is divided into 6 equal parts, and 3 parts are shaded. Write the shaded fraction and an equivalent fraction in simplest form.

Accepted Answer

The shaded fraction is 3/6, and an equivalent fraction in simplest form is 1/2 because both 3 and 6 can be divided by 3.

Question 11

Fill in the blank: 7/9 = 14/__

Accepted Answer

The missing denominator is 18, so 7/9 = 14/18. Both parts were multiplied by 2.

Question 12

Write two different fractions that are equivalent to 2/7.

Accepted Answer

Two fractions equivalent to 2/7 are 4/14 and 6/21 because each fraction is made by multiplying the numerator and denominator by the same number.

Question 13

Which fraction is equivalent to 3/6: 1/2, 2/3, or 5/6? Explain your choice.

Accepted Answer

The fraction equivalent to 3/6 is 1/2 because 3/6 simplifies to 1/2 when both numbers are divided by 3.

Question 14

Fill in the blank: __/12 = 1/3

Accepted Answer

The missing numerator is 4, so 4/12 = 1/3. The denominator 3 was multiplied by 4, so the numerator 1 was also multiplied by 4.

Question 15

Explain why multiplying or dividing the numerator and denominator by the same nonzero number makes an equivalent fraction.

Accepted Answer

Multiplying or dividing the numerator and denominator by the same nonzero number makes an equivalent fraction because the size of the parts compared with the whole stays the same, even though the numbers look different.

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Math: Equivalent Fractions

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