Dividing Fractions by another Fractions

Contributed by:

Diego Thu, Jan 27, 2022 06:24 AM UTC

We will see how to divide fractions with fractions. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

1. Math Study Strategies
Math for Sewing
Dividing Fractions
Example Problem
To divide fractions, follow these steps:
What is 1
3
4
÷ 3
8
?
Step 1
3 7
Change all mixed numbers to improper fractions. 14 =
4
Step 2
3 8
Invert the divisor (using the reciprocal).
8 3
Step 3
Change the division 7 x 8
sign to a multiplicaton sign. 4 3
For more information about this and other math topics, come to the Math Lab 722-6300 x 6232. Caproiu & Hall, 2000
Step 4
2
7
Cancel if possible. x 8
41 3
Step 5
7 14
Multiply straight across. x 2 =
1 3 3
Step 6
Reduce the answer to lowest terms 2
(if possible) or express it as a mixed 4
3
number.
Visual Representation
3 7 3
8 8 7
12345678
12345678 123456789012345678901
123456789012345678901
12345678
12345678
123456789012345678901
123456789012345678901
123456789012345678901
12345678
12345678
123456789012345678901
123456789012345678901
123456789012345678901
12345678 123456789012345678901
12345678
12345678
123456789012345678901
123456789012345678901
123456789012345678901
12345678 123456789012345678901
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