Solve (2/5+6/1)div2/6=

$$( \frac { 2 } { 5 } + \frac { 6 } { 1 } ) \div \frac { 2 } { 6 } =$$

Evaluate

$$\frac{96}{5}=19.2$$

Solution Steps

Anything divided by one gives itself.

$$\frac{\frac{2}{5}+6}{\frac{2}{6}}$$

Convert 6 to fraction \frac{30}{5}.

$$\frac{\frac{2}{5}+\frac{30}{5}}{\frac{2}{6}}$$

Since \frac{2}{5} and \frac{30}{5} have the same denominator, add them by adding their numerators.

$$\frac{\frac{2+30}{5}}{\frac{2}{6}}$$

Add 2 and 30 to get 32.

$$\frac{\frac{32}{5}}{\frac{2}{6}}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{32}{5}}{\frac{1}{3}}$$

Divide \frac{32}{5} by \frac{1}{3} by multiplying \frac{32}{5} by the reciprocal of \frac{1}{3}.

$$\frac{32}{5}\times 3$$

Express \frac{32}{5}\times 3 as a single fraction.

$$\frac{32\times 3}{5}$$

Multiply 32 and 3 to get 96.

$$\frac{96}{5}$$

Factor

$$\frac{2 ^ {5} \cdot 3}{5} = 19\frac{1}{5} = 19.2$$