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\frac{\frac{2\times 3}{5}+2}{4}
Express \frac{2}{5}\times 3 as a single fraction.
\frac{\frac{6}{5}+2}{4}
Multiply 2 and 3 to get 6.
\frac{\frac{6}{5}+\frac{10}{5}}{4}
Convert 2 to fraction \frac{10}{5}.
\frac{\frac{6+10}{5}}{4}
Since \frac{6}{5} and \frac{10}{5} have the same denominator, add them by adding their numerators.
\frac{\frac{16}{5}}{4}
Add 6 and 10 to get 16.
\frac{16}{5\times 4}
Express \frac{\frac{16}{5}}{4} as a single fraction.
\frac{16}{20}
Multiply 5 and 4 to get 20.
\frac{4}{5}
Reduce the fraction \frac{16}{20} to lowest terms by extracting and canceling out 4.