Solve 2/3/frac{5{9}}

$$\frac { \frac { 2 } { 3 } } { \frac { 5 } { 9 } }$$

Evaluate

$$\frac{6}{5}=1.2$$

Solution Steps

Divide \frac{2}{3} by \frac{5}{9} by multiplying \frac{2}{3} by the reciprocal of \frac{5}{9}.

$$\frac{2}{3}\times \frac{9}{5}$$

Multiply \frac{2}{3} times \frac{9}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 9}{3\times 5}$$

Do the multiplications in the fraction \frac{2\times 9}{3\times 5}.

$$\frac{18}{15}$$

Reduce the fraction \frac{18}{15} to lowest terms by extracting and canceling out 3.

$$\frac{6}{5}$$

Factor

$$\frac{2 \cdot 3}{5} = 1\frac{1}{5} = 1.2$$