We have already discussed **addition** and **multiplication of fractions** and what we have left are subtraction and division. In this post, we learn how to divide fractions.

To divide fractions, we must get the reciprocal of the divisor. This is just the same as swapping the numerator and the denominator. For example, the reciprocal of is . After getting the reciprocal, just multiply the fractions.

**Example 1**

**Solution**

First, we get the reciprocal of , the divisor. This is . Then, we multiply the fractions.

Answer:

**Example 2**

**Solution**

First, we get the reciprocal of which is . Multiplying the fractions, we have

We **reduce the answer to lowest terms **by dividing both the numerator and denominator by 5 resulting to .

Answer:

**Example 3**

**Solution**

In dividing fractions, the dividend and the divisor must not be mixed fractions. Therefore, we need to convert the **mixed fraction to improper fraction**. To do this, we multiply by and then add . The result becomes the numerator of the mixed fraction. So, the the equivalent of is .

Multiplying the fractions, we have

We can convert the** improper fraction to mixed f**orm which is equal to

Answer:

**Example 4**

.

**Solution**

If the divisor is a whole number, the reciprocal will be 1 “over” that number. In the given, the reciprocal of is . After getting the reciprocal of the divisor, we multiply the two fractions:

.

Answer:

To test your understanding of division of fractions, you can answer this Practice Test and read the Answer Key with solutions after.

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How did you get 9/10 in example number 3?

Hi Nina. The answer is not 9/10 but 7 3/16. It was a typo error due to cut and paste. Thank you.

In example 2, why 5/6 is not in reciprocal to 6/5?

in example number 2 Maam 5/6 is not the divisor.

We get the reciprocal of the divisor which is 10/7. We keep 5/6 as is.