# How do you multiply two fractions? Example: 1/2 * 1/3

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### 3 Answers

Multiplying fractions is similar to muliplying and two "regular" numbers, but in the case of fractions, there's a few more steps. The first is to multiply both numerators (the top numbers.) In your example, that would be:

1.) 1 * 1 = 1

The second step is to multiply both denominators (the bottom numbers):

2.) 2 * 3 = 6

The numerator product (1) goes on top of the denominator product (6) for a new fraction of 1/6.

A slightly more complicated example includes the process of simplifying the fraction after the multiplication operation. For example:

3.) 5/6 * 2/3 = (5 * 2) / (6 * 3) = 10 / 18

Although the products yield the fraction 10 /18, that can be reduced to 5/9, as both 10 and 18 can be divided by 2 (10 / 2 = 5) and (18 / 2 = 6).

To multiply two fractions, multiply the numerators and denominators separately:

1/2 * 1/3

numerators : 1 x 1 = 1

denominators: 2 x 3 = 6

Put this together to end up with the final answer of 1/6.

Side note: you can also cancel out common terms from the fractions before multiplying to make it easier.

`1/2 xx 1/3` straight across

`1/2 xx 1/3 = 1/6`