Solve -21/6:4/3

$$- 2 \frac { 1 } { 6 } : \frac { 4 } { 3 }$$

Evaluate

$$-\frac{13}{8}=-1.625$$

Solution Steps

Multiply 2 and 6 to get 12.

$$\frac{-\frac{12+1}{6}}{\frac{4}{3}}$$

Add 12 and 1 to get 13.

$$\frac{-\frac{13}{6}}{\frac{4}{3}}$$

Divide -\frac{13}{6} by \frac{4}{3} by multiplying -\frac{13}{6} by the reciprocal of \frac{4}{3}.

$$-\frac{13}{6}\times \frac{3}{4}$$

Multiply -\frac{13}{6} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-13\times 3}{6\times 4}$$

Do the multiplications in the fraction \frac{-13\times 3}{6\times 4}.

$$\frac{-39}{24}$$

Reduce the fraction \frac{-39}{24} to lowest terms by extracting and canceling out 3.

$$-\frac{13}{8}$$

Factor

$$-\frac{13}{8} = -1\frac{5}{8} = -1.625$$