Solve 3/2/frac{-frac{3{7}}{2}}

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

Evaluate

$$-7$$

Solution Steps

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

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

Cancel out 2 in both numerator and denominator.

$$\frac{3}{-\frac{3}{7}}$$

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

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

Cancel out 3 and 3.

$$-7$$

Factor

$$-7$$