Solve -11/8:[+13/16+(-3/8):(-2/3)]

$$- \frac { 11 } { 8 } : [ + \frac { 13 } { 16 } + ( - \frac { 3 } { 8 } ) : ( - \frac { 2 } { 3 } ) ]$$

Evaluate

$$-1$$

Solution Steps

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

$$\frac{-\frac{11}{8}}{\frac{13}{16}-\frac{3}{8}\left(-\frac{3}{2}\right)}$$

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

$$\frac{-\frac{11}{8}}{\frac{13}{16}+\frac{-3\left(-3\right)}{8\times 2}}$$

Do the multiplications in the fraction \frac{-3\left(-3\right)}{8\times 2}.

$$\frac{-\frac{11}{8}}{\frac{13}{16}+\frac{9}{16}}$$

Since \frac{13}{16} and \frac{9}{16} have the same denominator, add them by adding their numerators.

$$\frac{-\frac{11}{8}}{\frac{13+9}{16}}$$

Add 13 and 9 to get 22.

$$\frac{-\frac{11}{8}}{\frac{22}{16}}$$

Reduce the fraction \frac{22}{16} to lowest terms by extracting and canceling out 2.

$$\frac{-\frac{11}{8}}{\frac{11}{8}}$$

Divide -\frac{11}{8} by \frac{11}{8} to get -1.

$$-1$$

Factor

$$-1$$