**Example 1. **To multiply fractions, multiply the
numerators and multiply the

denominators straight across. In many problems, it is easier to do some division
before

multiplying . For example, our problem could be done by:

This problem could also be done by recognizing that the 2
in the second numerator can

divide into the 4 in the first denominator.

This second approach can provide significant advantages in
many problems and so the

sample solutions will take this approach.

**Example 2.**

Multiply .

The 3 in the first numerator can be divided into the 15 in
the third denominator. Also the

4 can be divided into the 8. This gives:

Now we see that the 5 divides 35 and the 2 divides 6. This
gives:

**Example 3. **To divide we invert and multiply.

**Exercises.**

** Solutions and Answers .**