Simplify \(\frac{1}{2}+\frac{1}{3}\) to \(\frac{5}{6}\).
\[\frac{2\times \frac{1}{3}\times \frac{1}{2}\times \frac{5}{6}}{\frac{1}{2}-\frac{1}{3}}\]
Cancel \(2\).
\[\frac{\frac{1}{3}\times \frac{5}{6}}{\frac{1}{2}-\frac{1}{3}}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{\frac{1\times 5}{3\times 6}}{\frac{1}{2}-\frac{1}{3}}\]
Simplify \(1\times 5\) to \(5\).
\[\frac{\frac{5}{3\times 6}}{\frac{1}{2}-\frac{1}{3}}\]
Simplify \(3\times 6\) to \(18\).
\[\frac{\frac{5}{18}}{\frac{1}{2}-\frac{1}{3}}\]
Simplify \(\frac{1}{2}-\frac{1}{3}\) to \(\frac{1}{6}\).
\[\frac{\frac{5}{18}}{\frac{1}{6}}\]
Invert and multiply.
\[\frac{5}{18}\times 6\]
Use this rule: \(\frac{a}{b} \times c=\frac{ac}{b}\).
\[\frac{5\times 6}{18}\]
Simplify \(5\times 6\) to \(30\).
\[\frac{30}{18}\]
Simplify.
\[\frac{5}{3}\]
Decimal Form: 1.666667
5/3
