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Dividing With Fractions Calculator

Fractions calculator. Dividing with fractions. Divide a fraction by another fraction.

Divide Fraction Number One by Fraction Number Two

Fraction One n
d
Fraction Two n
d

Results:

Result #
Decimal #

Multiplying fractions

If you are multiplying fractions it is a straight multiplication:
1⁄2 * 3⁄4
numerator * numerator  1 * 3 = 3
denominator * denominator   2 * 4 = 8
and the result of this multiplication is 1⁄2 * 3⁄4 = 3⁄8

Dividing with fractions.

Dividing a fraction with a fraction works differently than multiplying with fractions.
There are two ways you can approach this. Option one is the way you are suppose to do it.
Option 2 is explained below the calculator.
Option 1
1⁄2 ÷  3⁄4
This involves 2 steps. Step 1: change the division to a multiplication
1⁄2 * 3⁄4
Step 2: flip the numerator with the denominator of the second fraction.
1⁄2 * 4⁄3
 numerator * numerator   1 * 4 = 4
denominator * denominator   2 * 3 = 6
and the result of this calculation is
1⁄2 ÷ 3⁄4 = 1⁄2 * 4⁄3 = 4⁄6 = 2⁄3

Dividing with mixed numbers

The easiest way to do this is is by adding the number values to the fraction
2 1⁄2 ÷ 4 3⁄8  then becomes 5⁄2 ÷  35⁄8
change it into a multiplication and flip the second fraction
5⁄2 * 8⁄35 = 
numerator * numerator  5 * 8= 40
denominator * denominator   2 * 35 = 70
5⁄2 * 8⁄35 = 40⁄70 which becomes  4⁄7


Option 2
1⁄2 ÷ 3⁄4
change the division symbol to a multiplication symbol
1⁄2 * 3⁄4
now instead of doing a straight multiplication of
numerator * numerator    and      
denominator * denominator  
do a cross multiplication:
numerator fraction 1 * denominator fraction 2 =   1 * 4 the numerator of the result = 4
denominator  fraction 1  * numerator fraction 2  =  2 * 3 the denominator of the result = 6
Result = 4/6 simplified to 2/3


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