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MULTIPLYING AND DIVIDING FRACTIONS

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 .

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