Solve 2/5*9/10div27/40

$$\frac { 2 } { 5 } \times \frac { 9 } { 10 } \div \frac { 27 } { 40 }$$

Evaluate

$$\frac{8}{15}\approx 0.533333333$$

Solution Steps

Multiply \frac{2}{5} times \frac{9}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{2\times 9}{5\times 10}}{\frac{27}{40}}$$

Do the multiplications in the fraction \frac{2\times 9}{5\times 10}.

$$\frac{\frac{18}{50}}{\frac{27}{40}}$$

Reduce the fraction \frac{18}{50} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{9}{25}}{\frac{27}{40}}$$

Divide \frac{9}{25} by \frac{27}{40} by multiplying \frac{9}{25} by the reciprocal of \frac{27}{40}.

$$\frac{9}{25}\times \frac{40}{27}$$

Multiply \frac{9}{25} times \frac{40}{27} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 40}{25\times 27}$$

Do the multiplications in the fraction \frac{9\times 40}{25\times 27}.

$$\frac{360}{675}$$

Reduce the fraction \frac{360}{675} to lowest terms by extracting and canceling out 45.

$$\frac{8}{15}$$

Factor

$$\frac{2 ^ {3}}{3 \cdot 5} = 0.5333333333333333$$