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Equivalent Fractions Practice Problems with Answers

Five solved problems, then unlimited missing-number practice. Type the missing numerator and get the steps when you finish.

Addition

Add fractions with like and unlike denominators

Subtraction

Subtract fractions with like and unlike denominators

Multiplication

Multiply fractions and mixed numbers

Division

Divide fractions and mixed numbers

Simplifying

Reduce fractions to lowest terms

Equivalent

Find the missing number

Comparing

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Mixed Numbers

Mixed numbers and improper fractions

5 equivalent fractions problems with answers

Each one shows the answer and the working. Try it yourself first, then check.

  1. 1.1/2 = ?/8

    Answer: 4

    2 × 4 = 8, so multiply the numerator by 4 too: 1 × 4 = 4. 1/2 = 4/8.

  2. 2.2/3 = ?/12

    Answer: 8

    3 × 4 = 12, so multiply the numerator by 4: 2 × 4 = 8. 2/3 = 8/12.

  3. 3.3/5 = 12/?

    Answer: 20

    The numerator went from 3 to 12, which is × 4. Do the same to the denominator: 5 × 4 = 20. 3/5 = 12/20.

  4. 4.15/20 = 3/?

    Answer: 4

    The numerator went from 15 to 3, which is ÷ 5. Divide the denominator by 5 too: 20 ÷ 5 = 4. 15/20 = 3/4.

  5. 5.Are 4/6 and 10/15 equivalent?

    Answer: Yes

    Cross multiply: 4 × 15 = 60 and 6 × 10 = 60. The products match, so they are equal. Both simplify to 2/3.

Practice: find the missing number

Score: 0 / 0

 

How to find equivalent fractions

  1. Compare the denominators and work out what one was multiplied by to get the other.
  2. Do the same to the numerator.
  3. Check by simplifying both fractions; they should match.

Want to see it? The equivalent fraction bars line up the pieces, and the equivalent fractions finder lists many equivalents at once.

Equivalent fractions: common questions

Fractions that name the same amount with different numbers. 1/2, 2/4 and 4/8 are all equivalent: each is half of a whole.

Work out what the known denominator (or numerator) was multiplied or divided by, then do the same to the other part. For 2/3 = ?/12, 3 × 4 = 12, so the missing numerator is 2 × 4 = 8.

Cross multiply. If a/b and c/d give a × d = b × c, they are equivalent. 4/6 and 10/15 both give 60, so they match. Simplifying both to lowest terms works too.

Multiplying both by the same number is the same as multiplying by 1 (for example 4/4), which never changes the value. Changing only one part changes the size of the fraction.