Solve 8/5:2/9

$$\frac { 8 } { 5 } : \frac { 2 } { 9 }$$

Evaluate

$$\frac{36}{5}=7.2$$

Solution Steps

Divide \frac{8}{5} by \frac{2}{9} by multiplying \frac{8}{5} by the reciprocal of \frac{2}{9}.

$$\frac{8}{5}\times \frac{9}{2}$$

Multiply \frac{8}{5} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 9}{5\times 2}$$

Do the multiplications in the fraction \frac{8\times 9}{5\times 2}.

$$\frac{72}{10}$$

Reduce the fraction \frac{72}{10} to lowest terms by extracting and canceling out 2.

$$\frac{36}{5}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{5} = 7\frac{1}{5} = 7.2$$