Multiplying a Fraction by a Fraction
To multiply two fractions, just multiply the
to get the numerator of the product, and multiply the
to get the denominator of the product.
You can visualize this by starting with a drawing of
, then finding
of that quantity. Divide the
piece into 7 pieces of equal size. Then shade 5 of them.
Note that, even if the two fractions you're multiplying are both in
, the result may not be:
This answer is correct, but it's better if you
reduce the fraction
(write it in simplest form).
out a 2 from both the numerator and denominator, and then cancel the common factor.
If you're careful, you can speed up this process by reducing
, before multiplying.