Solve (9/4-6)div(-3/2)=

$$( \frac { 9 } { 4 } - 6 ) \div ( - \frac { 3 } { 2 } ) =$$

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Convert 6 to fraction \frac{24}{4}.

$$\frac{\frac{9}{4}-\frac{24}{4}}{-\frac{3}{2}}$$

Since \frac{9}{4} and \frac{24}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{9-24}{4}}{-\frac{3}{2}}$$

Subtract 24 from 9 to get -15.

$$\frac{-\frac{15}{4}}{-\frac{3}{2}}$$

Divide -\frac{15}{4} by -\frac{3}{2} by multiplying -\frac{15}{4} by the reciprocal of -\frac{3}{2}.

$$-\frac{15}{4}\left(-\frac{2}{3}\right)$$

Multiply -\frac{15}{4} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-15\left(-2\right)}{4\times 3}$$

Do the multiplications in the fraction \frac{-15\left(-2\right)}{4\times 3}.

$$\frac{30}{12}$$

Reduce the fraction \frac{30}{12} to lowest terms by extracting and canceling out 6.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$