Solve 8/9*1/4/frac{2{3}}

$$\frac { \frac { 8 } { 9 } \times \frac { 1 } { 4 } } { \frac { 2 } { 3 } }$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

Multiply \frac{8}{9} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{8\times 1}{9\times 4}}{\frac{2}{3}}$$

Do the multiplications in the fraction \frac{8\times 1}{9\times 4}.

$$\frac{\frac{8}{36}}{\frac{2}{3}}$$

Reduce the fraction \frac{8}{36} to lowest terms by extracting and canceling out 4.

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

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

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

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

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

Cancel out 2 in both numerator and denominator.

$$\frac{3}{9}$$

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$