Evaluate: (\frac{3)/(10)}{(5)/(6)}

Expression: $\frac{ \frac{ 3 }{ 10 } }{ \frac{ 5 }{ 6 } }$

Write the fraction as a division

$\frac{ 3 }{ 10 }\div\frac{ 5 }{ 6 }$

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

$\frac{ 3 }{ 10 } \times \frac{ 6 }{ 5 }$

To multiply the fractions, multiply the numerators and denominators separately

$\frac{ 3 \times 6 }{ 10 \times 5 }$

Cancel out the common factor $2$

$\frac{ 3 \times 3 }{ 5 \times 5 }$

Multiply the numbers

$\frac{ 9 }{ 5 \times 5 }$

Multiply the numbers

$\begin{align*}&\frac{ 9 }{ 25 } \\&\begin{array} { l }0.36,& {\left( \frac{ 3 }{ 5 } \right)}^{2}\end{array}\end{align*}$