Download Algorithm for multiplying fractions

Algorithm for Multiplying Fractions
1. If one of the factors is a whole number, change it to a fraction. The whole number is the
numerator of the fraction and 1 is the denominator of the fraction.
2
2
12
X 12
=
X
1
5
5
2. If one of the factors is a mixed number, change the mixed number to an improper fraction.

Ex:
1
7
2
2
X 3
=
X
2
2
5
5
3. Multiply the numerator of the first fraction by the numerator of the second fraction. Then
multiply the denominator of the first fraction by the denominator of the second fraction.
2
7
14
 Ex:
X
=
5
2
10
4. Simplify if possible and change improper fractions to mixed numbers.
14 ÷ 2
7
 Ex: Simplify by dividing the numerator and denominator by 2.
=
10 ÷ 2
5
7
2
 Ex: Change
to a mixed number = 1
5
5

Ex: