Solve (-3/2)div(6/7)

$$( - \frac { 3 } { 2 } ) \div ( \frac { 6 } { 7 } )$$

Evaluate

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

Solution Steps

Divide -\frac{3}{2} by \frac{6}{7} by multiplying -\frac{3}{2} by the reciprocal of \frac{6}{7}.

$$-\frac{3}{2}\times \frac{7}{6}$$

Multiply -\frac{3}{2} times \frac{7}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\times 7}{2\times 6}$$

Do the multiplications in the fraction \frac{-3\times 7}{2\times 6}.

$$\frac{-21}{12}$$

Reduce the fraction \frac{-21}{12} to lowest terms by extracting and canceling out 3.

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

Factor

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