Equivalent Fractions (Part 1) Worksheet

Question 1

Write three fractions that are equivalent to 2/5.

Accepted Answer

Three fractions equivalent to 2/5 are 4/10, 6/15, and 8/20 because the numerator and denominator are multiplied by the same number each time.

Question 2

Are 3/4 and 9/12 equivalent fractions? Explain how you know.

Accepted Answer

Yes, 3/4 and 9/12 are equivalent because 3 multiplied by 3 is 9 and 4 multiplied by 3 is 12. Both the numerator and denominator were multiplied by the same number.

Question 3

Fill in the missing number: 5/6 = 25/□.

Accepted Answer

The missing number is 30 because 5 was multiplied by 5 to get 25, so 6 must also be multiplied by 5. Therefore, 5/6 = 25/30.

Question 4

Simplify 18/24 to an equivalent fraction in lowest terms.

Accepted Answer

The fraction 18/24 simplifies to 3/4 because both 18 and 24 can be divided by 6.

Question 5

Which fraction is equivalent to 7/9: 14/27, 21/27, or 28/45? Explain your choice.

Accepted Answer

The fraction 21/27 is equivalent to 7/9 because 7 multiplied by 3 is 21 and 9 multiplied by 3 is 27.

Question 6

A rectangle is divided into 8 equal parts, and 6 parts are shaded. Write the shaded part as a fraction, then write the fraction in simplest form.

Accepted Answer

The shaded part is 6/8. In simplest form, 6/8 is 3/4 because both 6 and 8 can be divided by 2.

Question 7

Fill in the missing number: 4/7 = □/35.

Accepted Answer

The missing number is 20 because 7 was multiplied by 5 to get 35, so 4 must also be multiplied by 5. Therefore, 4/7 = 20/35.

Question 8

Explain why multiplying the numerator and denominator of a fraction by the same nonzero number creates an equivalent fraction.

Accepted Answer

Multiplying the numerator and denominator by the same nonzero number keeps the value of the fraction the same because it changes the number of parts counted and the total number of parts by the same factor.

Question 9

Use cross products to decide whether 8/10 and 12/15 are equivalent. Show your work.

Accepted Answer

The fractions are equivalent because 8 multiplied by 15 is 120, and 10 multiplied by 12 is also 120. Since the cross products are equal, 8/10 = 12/15.

Question 10

A number line shows 0, 1/2, and 1. Name two fractions with denominators greater than 2 that are located at the same point as 1/2.

Accepted Answer

Two fractions located at the same point as 1/2 are 2/4 and 3/6. Both fractions simplify to 1/2.

Question 11

Simplify 45/60 to an equivalent fraction in lowest terms.

Accepted Answer

The fraction 45/60 simplifies to 3/4 because both 45 and 60 can be divided by 15.

Question 12

Find the missing number: □/18 = 2/3.

Accepted Answer

The missing number is 12 because 3 was multiplied by 6 to get 18, so 2 must also be multiplied by 6. Therefore, 12/18 = 2/3.

Question 13

Two students are comparing 10/16 and 5/8. One student says they are equivalent. Is the student correct? Explain.

Accepted Answer

Yes, the student is correct because 10/16 can be simplified by dividing the numerator and denominator by 2, which gives 5/8.

Question 14

A circle is divided into 12 equal slices, and 9 slices are shaded. Write an equivalent fraction with a denominator of 4.

Accepted Answer

The equivalent fraction is 3/4 because 9/12 simplifies by dividing the numerator and denominator by 3.

Question 15

Create an equivalent fraction for 6/11 with a denominator of 55, then explain your process.

Accepted Answer

An equivalent fraction is 30/55 because 11 was multiplied by 5 to get 55, so 6 must also be multiplied by 5 to get 30.

Sign in to save

Sign in to save

Equivalent Fractions (Part 1)

More Math Worksheets

More Grade 6-8 Worksheets