Solve (-21/4):17/8=

$$( - 2 \frac { 1 } { 4 } ) : 1 \frac { 7 } { 8 } =$$

Evaluate

$$-\frac{6}{5}=-1.2$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{-\frac{8+1}{4}}{\frac{1\times 8+7}{8}}$$

Add 8 and 1 to get 9.

$$\frac{-\frac{9}{4}}{\frac{1\times 8+7}{8}}$$

Multiply 1 and 8 to get 8.

$$\frac{-\frac{9}{4}}{\frac{8+7}{8}}$$

Add 8 and 7 to get 15.

$$\frac{-\frac{9}{4}}{\frac{15}{8}}$$

Divide -\frac{9}{4} by \frac{15}{8} by multiplying -\frac{9}{4} by the reciprocal of \frac{15}{8}.

$$-\frac{9}{4}\times \frac{8}{15}$$

Multiply -\frac{9}{4} times \frac{8}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-9\times 8}{4\times 15}$$

Do the multiplications in the fraction \frac{-9\times 8}{4\times 15}.

$$\frac{-72}{60}$$

Reduce the fraction \frac{-72}{60} to lowest terms by extracting and canceling out 12.

$$-\frac{6}{5}$$

Factor

$$-\frac{6}{5} = -1\frac{1}{5} = -1.2$$