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 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 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 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.