Example 1.7.10 Adding/Subtracting Fractions

Before adding/subtracting fractions, we need to change each fraction's denominator to the same number, called the common denominator. Then, we add/subtract the numerators, and the denominator remains the same.

\begin{align*} \frac{1}{2}-\frac{1}{3}\amp=\frac{1}{2}\multiplyright{\frac{3}{3}}-\frac{1}{3}\multiplyright{\frac{2}{2}}\\ \amp=\frac{3}{6}-\frac{2}{6}\\ \amp=\frac{1}{6} \end{align*}
in-context