Solve 2/3+(-2/3)+(-4/3)div(8/7divfrac{3}{2})

$$\frac { 2 } { 3 } + ( - \frac { 2 } { 3 } ) + ( - \frac { 4 } { 3 } ) \div ( \frac { 8 } { 7 } \div \frac { 3 } { 2 } )$$

Evaluate

$$-\frac{7}{4}=-1.75$$

Solution Steps

Subtract \frac{2}{3} from \frac{2}{3} to get 0.

$$\frac{-\frac{4}{3}}{\frac{\frac{8}{7}}{\frac{3}{2}}}$$

Divide \frac{8}{7} by \frac{3}{2} by multiplying \frac{8}{7} by the reciprocal of \frac{3}{2}.

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

Multiply \frac{8}{7} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{8\times 2}{7\times 3}.

$$\frac{-\frac{4}{3}}{\frac{16}{21}}$$

Divide -\frac{4}{3} by \frac{16}{21} by multiplying -\frac{4}{3} by the reciprocal of \frac{16}{21}.

$$-\frac{4}{3}\times \frac{21}{16}$$

Multiply -\frac{4}{3} times \frac{21}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-4\times 21}{3\times 16}$$

Do the multiplications in the fraction \frac{-4\times 21}{3\times 16}.

$$\frac{-84}{48}$$

Reduce the fraction \frac{-84}{48} to lowest terms by extracting and canceling out 12.

$$-\frac{7}{4}$$

Factor

$$-\frac{7}{4} = -1\frac{3}{4} = -1.75$$