How to Divide Fractions

Dividing Fractions

Fractions can be divided.

Imagine you wanted to divide 1/5 (one-fifth) by 2/3 (two-thirds).

How to Divide Fractions

Question

Divide the fractions below.

Dividing by a fraction can be changed to multiplying by a fraction (which is much easier!). Flip the fraction you are dividing by upside down, then change the ÷ to a ×.

Step-by-Step:

1

Flip the fraction you after the ÷ sign upside-down (so the top number becomes the bottom number and the bottom number becomes the top number).

2

Change the ÷ sign to a × sign.

Now we are multiplying fractions. Multiply 1/5 (one-fifth) by 3/2.

3

Multiply the top numbers (called the numerators) of the fractions together.

1 × 3 = 3

4

Multiply the bottom numbers (called the denominators) of the fractions together.

5 × 2 = 10

5

The answer from Step 3 is the numerator of our answer. The answer from Step 4 is the denominator of our answer.

6

Simplify the fraction if possible. (The fraction in our example is already as simple as possible).

Answer:

1/5 (one-fifth) divided by 2/3 (two-thirds) equals 3/10 (three-tenths).

1/5 ÷ 2/3 = 3/10

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See Also

What is a fraction? What is a numerator? What is a denominator? Simplifying fractions Finding the reciprocal of a fraction