Solve 1/2*1/5div3/20

$$\frac { 1 } { 2 } \times \frac { 1 } { 5 } \div \frac { 3 } { 20 }$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Multiply \frac{1}{2} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 1}{2\times 5}}{\frac{3}{20}}$$

Do the multiplications in the fraction \frac{1\times 1}{2\times 5}.

$$\frac{\frac{1}{10}}{\frac{3}{20}}$$

Divide \frac{1}{10} by \frac{3}{20} by multiplying \frac{1}{10} by the reciprocal of \frac{3}{20}.

$$\frac{1}{10}\times \frac{20}{3}$$

Multiply \frac{1}{10} times \frac{20}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 20}{10\times 3}$$

Do the multiplications in the fraction \frac{1\times 20}{10\times 3}.

$$\frac{20}{30}$$

Reduce the fraction \frac{20}{30} to lowest terms by extracting and canceling out 10.

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

Factor

$$\frac{2}{3} = 0.6666666666666666$$