Solve 21/4:(-11/2)

$$2 \frac { 1 } { 4 } : ( - 1 \frac { 1 } { 2 } )$$

Evaluate

$$-\frac{3}{2}=-1.5$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{\frac{8+1}{4}}{-\frac{1\times 2+1}{2}}$$

Add 8 and 1 to get 9.

$$\frac{\frac{9}{4}}{-\frac{1\times 2+1}{2}}$$

Multiply 1 and 2 to get 2.

$$\frac{\frac{9}{4}}{-\frac{2+1}{2}}$$

Add 2 and 1 to get 3.

$$\frac{\frac{9}{4}}{-\frac{3}{2}}$$

Divide \frac{9}{4} by -\frac{3}{2} by multiplying \frac{9}{4} by the reciprocal of -\frac{3}{2}.

$$\frac{9}{4}\left(-\frac{2}{3}\right)$$

Multiply \frac{9}{4} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\left(-2\right)}{4\times 3}$$

Do the multiplications in the fraction \frac{9\left(-2\right)}{4\times 3}.

$$\frac{-18}{12}$$

Reduce the fraction \frac{-18}{12} to lowest terms by extracting and canceling out 6.

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

Factor

$$-\frac{3}{2} = -1\frac{1}{2} = -1.5$$