Solve (-2/5div6/7)-(4/3div1/8)

$$( \frac { - 2 } { 5 } \div \frac { 6 } { 7 } ) - ( \frac { 4 } { 3 } \div \frac { 1 } { 8 } )$$

Evaluate

$$-\frac{167}{15}\approx -11.133333333$$

Solution Steps

Divide \frac{-2}{5} by \frac{6}{7} by multiplying \frac{-2}{5} by the reciprocal of \frac{6}{7}.

$$\frac{-2\times 7}{5\times 6}-\frac{\frac{4}{3}}{\frac{1}{8}}$$

Cancel out 2 in both numerator and denominator.

$$\frac{-7}{3\times 5}-\frac{\frac{4}{3}}{\frac{1}{8}}$$

Multiply 3 and 5 to get 15.

$$\frac{-7}{15}-\frac{\frac{4}{3}}{\frac{1}{8}}$$

Fraction \frac{-7}{15} can be rewritten as -\frac{7}{15} by extracting the negative sign.

$$-\frac{7}{15}-\frac{\frac{4}{3}}{\frac{1}{8}}$$

Divide \frac{4}{3} by \frac{1}{8} by multiplying \frac{4}{3} by the reciprocal of \frac{1}{8}.

$$-\frac{7}{15}-\frac{4}{3}\times 8$$

Express \frac{4}{3}\times 8 as a single fraction.

$$-\frac{7}{15}-\frac{4\times 8}{3}$$

Multiply 4 and 8 to get 32.

$$-\frac{7}{15}-\frac{32}{3}$$

Least common multiple of 15 and 3 is 15. Convert -\frac{7}{15} and \frac{32}{3} to fractions with denominator 15.

$$-\frac{7}{15}-\frac{160}{15}$$

Since -\frac{7}{15} and \frac{160}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-7-160}{15}$$

Subtract 160 from -7 to get -167.

$$-\frac{167}{15}$$

Factor

$$-\frac{167}{15} = -11\frac{2}{15} = -11.133333333333333$$