Solve -7.5-4.5+15(-32.25div3)

$$- 7.5 - 4.5 + 15 ( - 32.25 \div 3 )$$

Evaluate

$$-173.25$$

Solution Steps

Subtract 4.5 from -7.5 to get -12.

$$-12+15\times \frac{-32.25}{3}$$

Expand \frac{-32.25}{3} by multiplying both numerator and the denominator by 100.

$$-12+15\times \frac{-3225}{300}$$

Reduce the fraction \frac{-3225}{300} to lowest terms by extracting and canceling out 75.

$$-12+15\left(-\frac{43}{4}\right)$$

Express 15\left(-\frac{43}{4}\right) as a single fraction.

$$-12+\frac{15\left(-43\right)}{4}$$

Multiply 15 and -43 to get -645.

$$-12+\frac{-645}{4}$$

Fraction \frac{-645}{4} can be rewritten as -\frac{645}{4} by extracting the negative sign.

$$-12-\frac{645}{4}$$

Convert -12 to fraction -\frac{48}{4}.

$$-\frac{48}{4}-\frac{645}{4}$$

Since -\frac{48}{4} and \frac{645}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-48-645}{4}$$

Subtract 645 from -48 to get -693.

$$-\frac{693}{4}$$

Factor

$$-173.25$$