Example 1.7.8 Multiplying Fractions

When multiplying two fractions, we simply multiply the numerators and denominators. To avoid big numbers, we should reduce fractions before multiplying. If one number is an integer, we can write it as a fraction with a denominator of \(1\text{.}\) For example, \(2=\frac{2}{1}\text{.}\)

\begin{align*} \frac{1}{2}\cdot\frac{3}{4}\amp=\frac{1\cdot3}{2\cdot4}\\ \amp=\frac{3}{8} \end{align*}
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