Solve 3/20div2/5div14/5=

$$\frac { 3 } { 20 } \div \frac { 2 } { 5 } \div \frac { 14 } { 5 } =$$

Evaluate

$$\frac{15}{112}\approx 0.133928571$$

Solution Steps

Divide \frac{\frac{3}{20}}{\frac{2}{5}} by \frac{14}{5} by multiplying \frac{\frac{3}{20}}{\frac{2}{5}} by the reciprocal of \frac{14}{5}.

$$\frac{\frac{3}{20}\times 5}{\frac{2}{5}\times 14}$$

Express \frac{3}{20}\times 5 as a single fraction.

$$\frac{\frac{3\times 5}{20}}{\frac{2}{5}\times 14}$$

Multiply 3 and 5 to get 15.

$$\frac{\frac{15}{20}}{\frac{2}{5}\times 14}$$

Reduce the fraction \frac{15}{20} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{3}{4}}{\frac{2}{5}\times 14}$$

Express \frac{2}{5}\times 14 as a single fraction.

$$\frac{\frac{3}{4}}{\frac{2\times 14}{5}}$$

Multiply 2 and 14 to get 28.

$$\frac{\frac{3}{4}}{\frac{28}{5}}$$

Divide \frac{3}{4} by \frac{28}{5} by multiplying \frac{3}{4} by the reciprocal of \frac{28}{5}.

$$\frac{3}{4}\times \frac{5}{28}$$

Multiply \frac{3}{4} times \frac{5}{28} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 5}{4\times 28}$$

Do the multiplications in the fraction \frac{3\times 5}{4\times 28}.

$$\frac{15}{112}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {4} \cdot 7} = 0.13392857142857142$$