Solve 1/5:(2/3)^2

$$\frac { 1 } { 5 } : ( \frac { 2 } { 3 } ) ^ { 2 }$$

Evaluate

$$\frac{9}{20}=0.45$$

Solution Steps

Calculate \frac{2}{3} to the power of 2 and get \frac{4}{9}.

$$\frac{\frac{1}{5}}{\frac{4}{9}}$$

Divide \frac{1}{5} by \frac{4}{9} by multiplying \frac{1}{5} by the reciprocal of \frac{4}{9}.

$$\frac{1}{5}\times \frac{9}{4}$$

Multiply \frac{1}{5} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 9}{5\times 4}$$

Do the multiplications in the fraction \frac{1\times 9}{5\times 4}.

$$\frac{9}{20}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2} \cdot 5} = 0.45$$