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

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enotechris's profile pic

enotechris | College Teacher | (Level 2) Senior Educator

Posted on

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).

Wiggin42's profile pic

Wiggin42 | Student, Undergraduate | (Level 2) Valedictorian

Posted on

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. 

atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

`1/2 xx 1/3`  straight across

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

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