NUMBAT OER - Open Educational Resources

3.1 Multiplying fractions

To multiply two (or more) fractions, you simply need to multiply the numerators together, and also to multiply the denominators:

( 4 )  ×  ( 3 )  =  (4 × 3)  =  12  =  2
9 6 (9 × 6) 54 9

Note that if both fractions have values smaller than one (as in this case), the answer will be smaller than either of the original fractions.

A fraction raised to a whole-number positive power is a special case of multiplication:

( 5 ) 2 ( 5 )  ×  ( 5 )  =  (5 × 5)  =  52
8 8 8 (8 × 8) 82