Solve 4/5div2/5*1/2

$$4 / 5 \div 2 / 5 \times 1 / 2$$

Evaluate

$$1$$

Solution Steps

Divide \frac{4}{5} by \frac{2}{5} by multiplying \frac{4}{5} by the reciprocal of \frac{2}{5}.

$$\frac{4}{5}\times \frac{5}{2}\times \frac{1}{2}$$

Multiply \frac{4}{5} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 5}{5\times 2}\times \frac{1}{2}$$

Cancel out 5 in both numerator and denominator.

$$\frac{4}{2}\times \frac{1}{2}$$

Divide 4 by 2 to get 2.

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

Cancel out 2 and 2.

$$1$$

Factor

$$1$$