Solve 8/5:0,8-(-15-2/3)=

$$\frac { 8 } { 5 } : 0,8 - ( - 15 - \frac { 2 } { 3 } ) =$$

Evaluate

$$\frac{53}{3}\approx 17,666666667$$

Solution Steps

Express \frac{\frac{8}{5}}{0,8} as a single fraction.

$$\frac{8}{5\times 0,8}-\left(-15-\frac{2}{3}\right)$$

Multiply 5 and 0,8 to get 4.

$$\frac{8}{4}-\left(-15-\frac{2}{3}\right)$$

Divide 8 by 4 to get 2.

$$2-\left(-15-\frac{2}{3}\right)$$

Convert -15 to fraction -\frac{45}{3}.

$$2-\left(-\frac{45}{3}-\frac{2}{3}\right)$$

Since -\frac{45}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$2-\frac{-45-2}{3}$$

Subtract 2 from -45 to get -47.

$$2-\left(-\frac{47}{3}\right)$$

The opposite of -\frac{47}{3} is \frac{47}{3}.

$$2+\frac{47}{3}$$

Convert 2 to fraction \frac{6}{3}.

$$\frac{6}{3}+\frac{47}{3}$$

Since \frac{6}{3} and \frac{47}{3} have the same denominator, add them by adding their numerators.

$$\frac{6+47}{3}$$

Add 6 and 47 to get 53.

$$\frac{53}{3}$$

Factor

$$\frac{53}{3} = 17\frac{2}{3} = 17.666666666666668$$