Solve 22/5:3/10-2/10=

$$2 \frac { 2 } { 5 } : \frac { 3 } { 10 } - \frac { 2 } { 10 } =$$

Evaluate

$$\frac{39}{5}=7.8$$

Solution Steps

Divide \frac{2\times 5+2}{5} by \frac{3}{10} by multiplying \frac{2\times 5+2}{5} by the reciprocal of \frac{3}{10}.

$$\frac{\left(2\times 5+2\right)\times 10}{5\times 3}-\frac{2}{10}$$

Cancel out 5 in both numerator and denominator.

$$\frac{2\left(2+2\times 5\right)}{3}-\frac{2}{10}$$

Multiply 2 and 5 to get 10.

$$\frac{2\left(2+10\right)}{3}-\frac{2}{10}$$

Add 2 and 10 to get 12.

$$\frac{2\times 12}{3}-\frac{2}{10}$$

Multiply 2 and 12 to get 24.

$$\frac{24}{3}-\frac{2}{10}$$

Divide 24 by 3 to get 8.

$$8-\frac{2}{10}$$

Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$8-\frac{1}{5}$$

Convert 8 to fraction \frac{40}{5}.

$$\frac{40}{5}-\frac{1}{5}$$

Since \frac{40}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{40-1}{5}$$

Subtract 1 from 40 to get 39.

$$\frac{39}{5}$$

Factor

$$\frac{3 \cdot 13}{5} = 7\frac{4}{5} = 7.8$$