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}.

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

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

$$\frac{-3\left(-7\right)}{2\times 6}$$

Do the multiplications in the fraction \frac{-3\left(-7\right)}{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

$$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75$$