Solve (1/2+(3/4*2))*(-8)

$$( \frac{ 1 }{ 2 } +( \frac{ 3 }{ 4 } \times 2)) \times (-8)$$

Evaluate

$$-16$$

Solution Steps

Express \frac{3}{4}\times 2 as a single fraction.

$$\left(\frac{1}{2}+\frac{3\times 2}{4}\right)\left(-8\right)$$

Multiply 3 and 2 to get 6.

$$\left(\frac{1}{2}+\frac{6}{4}\right)\left(-8\right)$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\left(\frac{1}{2}+\frac{3}{2}\right)\left(-8\right)$$

Since \frac{1}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

$$\frac{1+3}{2}\left(-8\right)$$

Add 1 and 3 to get 4.

$$\frac{4}{2}\left(-8\right)$$

Divide 4 by 2 to get 2.

$$2\left(-8\right)$$

Multiply 2 and -8 to get -16.

$$-16$$

Factor

$$-16$$