Solve -1/4(3g-6-5g)

$$- \frac { 1 } { 4 } ( 3 g - 6 - 5 g )$$

Evaluate

$$\frac{g+3}{2}$$

Solution Steps

Combine 3g and -5g to get -2g.

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

Use the distributive property to multiply -\frac{1}{4} by -2g-6.

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

Express -\frac{1}{4}\left(-2\right) as a single fraction.

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

Multiply -1 and -2 to get 2.

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

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

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

Express -\frac{1}{4}\left(-6\right) as a single fraction.

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

Multiply -1 and -6 to get 6.

$$\frac{1}{2}g+\frac{6}{4}$$

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

$$\frac{1}{2}g+\frac{3}{2}$$

Expand

$$\frac{g+3}{2}$$

Solution Steps

Combine 3g and -5g to get -2g.

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

Use the distributive property to multiply -\frac{1}{4} by -2g-6.

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

Express -\frac{1}{4}\left(-2\right) as a single fraction.

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

Multiply -1 and -2 to get 2.

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

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

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

Express -\frac{1}{4}\left(-6\right) as a single fraction.

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

Multiply -1 and -6 to get 6.

$$\frac{1}{2}g+\frac{6}{4}$$

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

$$\frac{1}{2}g+\frac{3}{2}$$