Calculate: 2 (5)/(8) * 1 (3)/(4)/3 (1)/(5)

Expression: $2 \frac{ 5 }{ 8 } \times 1 \frac{ 3 }{ 4 }\div3 \frac{ 1 }{ 5 }$

Convert the mixed number to an improper fraction

$\frac{ 21 }{ 8 } \times 1 \frac{ 3 }{ 4 }\div3 \frac{ 1 }{ 5 }$

Convert the mixed number to an improper fraction

$\frac{ 21 }{ 8 } \times \frac{ 7 }{ 4 }\div3 \frac{ 1 }{ 5 }$

Convert the mixed number to an improper fraction

$\frac{ 21 }{ 8 } \times \frac{ 7 }{ 4 }\div\frac{ 16 }{ 5 }$

To divide by a fraction, multiply by the reciprocal of that fraction

$\frac{ 21 }{ 8 } \times \frac{ 7 }{ 4 } \times \frac{ 5 }{ 16 }$

Multiply the fractions

$\begin{align*}&\frac{ 735 }{ 512 } \\&\begin{array} { l }1 \frac{ 223 }{ 512 },& \approx1.43555\end{array}\end{align*}$