How to Divide Fractions
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 
Example 1
Solution
First, we get the reciprocal of
Answer:
Example 2
Solution
First, we get the reciprocal of 
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 
Multiplying the fractions, we have
We can convert the improper fraction to mixed form 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 
Answer:
To test your understanding of division of fractions, you can answer this Practice Test and read the Answer Key with solutions after.
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.