Solve 15/8/-frac{3{2}}

$$\frac{ \frac{ 15 }{ 8 } }{ - \frac{ 3 }{ 2 } }$$

Evaluate

$$-\frac{5}{4}=-1.25$$

Solution Steps

Divide \frac{15}{8} by -\frac{3}{2} by multiplying \frac{15}{8} by the reciprocal of -\frac{3}{2}.

$$\frac{15}{8}\left(-\frac{2}{3}\right)$$

Multiply \frac{15}{8} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\left(-2\right)}{8\times 3}$$

Do the multiplications in the fraction \frac{15\left(-2\right)}{8\times 3}.

$$\frac{-30}{24}$$

Reduce the fraction \frac{-30}{24} to lowest terms by extracting and canceling out 6.

$$-\frac{5}{4}$$

Factor

$$-\frac{5}{4} = -1\frac{1}{4} = -1.25$$