Solve 5/9*6/15div4/9

$$\frac { 5 } { 9 } \times \frac { 6 } { 15 } \div \frac { 4 } { 9 }$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Reduce the fraction \frac{6}{15} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{5}{9}\times \frac{2}{5}}{\frac{4}{9}}$$

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

$$\frac{\frac{5\times 2}{9\times 5}}{\frac{4}{9}}$$

Cancel out 5 in both numerator and denominator.

$$\frac{\frac{2}{9}}{\frac{4}{9}}$$

Divide \frac{2}{9} by \frac{4}{9} by multiplying \frac{2}{9} by the reciprocal of \frac{4}{9}.

$$\frac{2}{9}\times \frac{9}{4}$$

Multiply \frac{2}{9} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 9}{9\times 4}$$

Cancel out 9 in both numerator and denominator.

$$\frac{2}{4}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$