Solve 8/9*1/27div2/27

$$\frac { 8 } { 9 } \times \frac { 1 } { 27 } \div \frac { 2 } { 27 }$$

Evaluate

$$\frac{4}{9}\approx 0.444444444$$

Solution Steps

Multiply \frac{8}{9} times \frac{1}{27} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{8\times 1}{9\times 27}}{\frac{2}{27}}$$

Do the multiplications in the fraction \frac{8\times 1}{9\times 27}.

$$\frac{\frac{8}{243}}{\frac{2}{27}}$$

Divide \frac{8}{243} by \frac{2}{27} by multiplying \frac{8}{243} by the reciprocal of \frac{2}{27}.

$$\frac{8}{243}\times \frac{27}{2}$$

Multiply \frac{8}{243} times \frac{27}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 27}{243\times 2}$$

Do the multiplications in the fraction \frac{8\times 27}{243\times 2}.

$$\frac{216}{486}$$

Reduce the fraction \frac{216}{486} to lowest terms by extracting and canceling out 54.

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

Factor

$$\frac{2 ^ {2}}{3 ^ {2}} = 0.4444444444444444$$