Solve 2/5div1/4div2/6=

$$\frac { 2 } { 5 } \div \frac { 1 } { 4 } \div \frac { 2 } { 6 } =$$

Evaluate

$$\frac{24}{5}=4.8$$

Solution Steps

Divide \frac{\frac{2}{5}}{\frac{1}{4}} by \frac{2}{6} by multiplying \frac{\frac{2}{5}}{\frac{1}{4}} by the reciprocal of \frac{2}{6}.

$$\frac{\frac{2}{5}\times 6}{\frac{1}{4}\times 2}$$

Cancel out 2 in both numerator and denominator.

$$\frac{\frac{2}{5}\times 3}{\frac{1}{4}}$$

Express \frac{2}{5}\times 3 as a single fraction.

$$\frac{\frac{2\times 3}{5}}{\frac{1}{4}}$$

Multiply 2 and 3 to get 6.

$$\frac{\frac{6}{5}}{\frac{1}{4}}$$

Divide \frac{6}{5} by \frac{1}{4} by multiplying \frac{6}{5} by the reciprocal of \frac{1}{4}.

$$\frac{6}{5}\times 4$$

Express \frac{6}{5}\times 4 as a single fraction.

$$\frac{6\times 4}{5}$$

Multiply 6 and 4 to get 24.

$$\frac{24}{5}$$

Factor

$$\frac{2 ^ {3} \cdot 3}{5} = 4\frac{4}{5} = 4.8$$