Use this rule: \(a \times \frac{b}{c}=\frac{ab}{c}\).
\[\frac{\frac{1}{2}+1+\frac{2\times 3}{4}}{(\frac{3}{5}+\frac{2}{5})\times \frac{3}{5}}\]
Simplify \(2\times 3\) to \(6\).
\[\frac{\frac{1}{2}+1+\frac{6}{4}}{(\frac{3}{5}+\frac{2}{5})\times \frac{3}{5}}\]
Simplify \(\frac{6}{4}\) to \(\frac{3}{2}\).
\[\frac{\frac{1}{2}+1+\frac{3}{2}}{(\frac{3}{5}+\frac{2}{5})\times \frac{3}{5}}\]
Simplify \(\frac{1}{2}+1+\frac{3}{2}\) to \(\frac{6}{2}\).
\[\frac{\frac{6}{2}}{(\frac{3}{5}+\frac{2}{5})\times \frac{3}{5}}\]
Simplify \(\frac{6}{2}\) to \(3\).
\[\frac{3}{(\frac{3}{5}+\frac{2}{5})\times \frac{3}{5}}\]
Simplify \(\frac{3}{5}+\frac{2}{5}\) to \(1\).
\[\frac{3}{1\times \frac{3}{5}}\]
Use this rule: \(a \times \frac{b}{c}=\frac{ab}{c}\).
\[\frac{3}{\frac{1\times 3}{5}}\]
Simplify \(1\times 3\) to \(3\).
\[\frac{3}{\frac{3}{5}}\]
Invert and multiply.
\[3\times \frac{5}{3}\]
Cancel \(3\).
\[5\]
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