Solve 8/3:(3/5-7/10)=

$$\frac { 8 } { 3 } : ( \frac { 3 } { 5 } - \frac { 7 } { 10 } ) =$$

Evaluate

$$-\frac{80}{3}\approx -26.666666667$$

Solution Steps

Least common multiple of 5 and 10 is 10. Convert \frac{3}{5} and \frac{7}{10} to fractions with denominator 10.

$$\frac{\frac{8}{3}}{\frac{6}{10}-\frac{7}{10}}$$

Since \frac{6}{10} and \frac{7}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{8}{3}}{\frac{6-7}{10}}$$

Subtract 7 from 6 to get -1.

$$\frac{\frac{8}{3}}{-\frac{1}{10}}$$

Divide \frac{8}{3} by -\frac{1}{10} by multiplying \frac{8}{3} by the reciprocal of -\frac{1}{10}.

$$\frac{8}{3}\left(-10\right)$$

Express \frac{8}{3}\left(-10\right) as a single fraction.

$$\frac{8\left(-10\right)}{3}$$

Multiply 8 and -10 to get -80.

$$\frac{-80}{3}$$

Fraction \frac{-80}{3} can be rewritten as -\frac{80}{3} by extracting the negative sign.

$$-\frac{80}{3}$$

Factor

$$-\frac{80}{3} = -26\frac{2}{3} = -26.666666666666668$$