How to Multiply two Fractions

These are the steps to be taken to multiply two fractions together:

Convert both fractions to improper fractions (if necessary)
Multiply numerator by numerator, and denominator by denominator
Reduce the fraction to its lowest terms.

For example, to multiply the following fractions :

1	2
	3

2	3
	4

(One and Two-Thirds x Two and Three Quarters)

Step 1: Convert both fractions to Improper (vulgar) Fractions, by multiplying the whole numbers by their respective denominators and adding to the numerator:

	(1 x 3) + 2
	3

	(2 x 4) + 3
	4

	5
	3

	11
	4

Step 2: Multiply Numerator by Numerator and Denominator by Denominator

	5 x 11
	3 x 4

	55
	12

Step 3: Check whether the fractions can be reduced to simpler forms and improper fractions

	55
	12

	(4 x 12) + 7
	12

4	7
	12

Try this for yourself on our Fraction Arithmetic Calculator