How do you simplify before multiplying fractions?
To simplify fractions before multiplying, divide any numerator and denominator by their greatest common factor.
| Example: |
To simplify fractions before multiplying: |
A cooler is
full of sodas. Of this amount,
are root beers.
To find the part that is root beers, multiply
by
.

Check if both fractions are in simplest form. The fraction
written in simplest form is
.

Before multiplying the fractions, check if you can simplify the fractions further: divide any numerator and denominator by their greatest common factor. The greatest common factor of 3 and 3 is 3, so cross out and divide both numbers by 3.

Now, multiply the simplified fractions to find the product in simplest form.

The picture below shows that
of
is
of the whole cooler. The cooler is
full of root beers.
