Solve -7/4(4*3/2)-3(-9/2+5)

$$- \frac{ 7 }{ 4 } (4 \times \frac{ 3 }{ 2 } )-3(- \frac{ 9 }{ 2 } +5)$$

Evaluate

$$-12$$

Solution Steps

Cancel out 4 and 4.

$$-7\times \frac{3}{2}-3\left(-\frac{9}{2}+5\right)$$

Express -7\times \frac{3}{2} as a single fraction.

$$\frac{-7\times 3}{2}-3\left(-\frac{9}{2}+5\right)$$

Multiply -7 and 3 to get -21.

$$\frac{-21}{2}-3\left(-\frac{9}{2}+5\right)$$

Fraction \frac{-21}{2} can be rewritten as -\frac{21}{2} by extracting the negative sign.

$$-\frac{21}{2}-3\left(-\frac{9}{2}+5\right)$$

Convert 5 to fraction \frac{10}{2}.

$$-\frac{21}{2}-3\left(-\frac{9}{2}+\frac{10}{2}\right)$$

Since -\frac{9}{2} and \frac{10}{2} have the same denominator, add them by adding their numerators.

$$-\frac{21}{2}-3\times \frac{-9+10}{2}$$

Add -9 and 10 to get 1.

$$-\frac{21}{2}-3\times \frac{1}{2}$$

Multiply 3 and \frac{1}{2} to get \frac{3}{2}.

$$-\frac{21}{2}-\frac{3}{2}$$

Since -\frac{21}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-21-3}{2}$$

Subtract 3 from -21 to get -24.

$$\frac{-24}{2}$$

Divide -24 by 2 to get -12.

$$-12$$

Factor

$$-12$$