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Multiplying fractions

Watch this video to learn about multiplying fractions.

When multiplying fractions, multiply the top numbers (numerators) together and multiply the bottom numbers (denominators) together, then simplify or it is sometimes easier simplify first.

Example

Calculate: \(\frac{4}{5} \times \frac{5}{6}\)

Method 1

Multiply then cancel:

\(= \frac{{4 \times 5}}{{5 \times 6}}\)

\(= \frac{{20}}{{30}} = \frac{2}{3}\)

Method 2

Simplify first, then multiply:

\(= \frac{{4 \times 5}}{{5 \times 6}}\)

(Cancel both 5s with 5 ,cancel the 4 and 6 with 2)

\(= \frac{{2 \times 1}}{{1 \times 3}} = \frac{2}{3}\)

Now try the example questions below.

Question

Calculate: \(\frac{5}{6} \times \frac{3}{8}\)

Question

Calculate: \(1\frac{1}{2} \times 2\frac{1}{6}\)