Solve -7|15/16*(-8)

$$- 7 | \frac { 15 } { 16 } \times ( - 8 )$$

Evaluate

$$-\frac{105}{2}=-52.5$$

Solution Steps

Express \frac{15}{16}\left(-8\right) as a single fraction.

$$-7|\frac{15\left(-8\right)}{16}|$$

Multiply 15 and -8 to get -120.

$$-7|\frac{-120}{16}|$$

Reduce the fraction \frac{-120}{16} to lowest terms by extracting and canceling out 8.

$$-7|-\frac{15}{2}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{15}{2} is \frac{15}{2}.

$$-7\times \frac{15}{2}$$

Express -7\times \frac{15}{2} as a single fraction.

$$\frac{-7\times 15}{2}$$

Multiply -7 and 15 to get -105.

$$\frac{-105}{2}$$

Fraction \frac{-105}{2} can be rewritten as -\frac{105}{2} by extracting the negative sign.

$$-\frac{105}{2}$$

Factor

$$-\frac{105}{2} = -52\frac{1}{2} = -52.5$$