Solve -1/4(1/2x-3/4x-1/8)

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

Evaluate

$$\frac{x}{16}+\frac{1}{32}$$

Solution Steps

Combine \frac{1}{2}x and -\frac{3}{4}x to get -\frac{1}{4}x.

$$-\frac{1}{4}\left(-\frac{1}{4}x-\frac{1}{8}\right)$$

Use the distributive property to multiply -\frac{1}{4} by -\frac{1}{4}x-\frac{1}{8}.

$$-\frac{1}{4}\left(-\frac{1}{4}\right)x-\frac{1}{4}\left(-\frac{1}{8}\right)$$

Multiply -\frac{1}{4} times -\frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-\left(-1\right)}{4\times 4}x-\frac{1}{4}\left(-\frac{1}{8}\right)$$

Do the multiplications in the fraction \frac{-\left(-1\right)}{4\times 4}.

$$\frac{1}{16}x-\frac{1}{4}\left(-\frac{1}{8}\right)$$

Multiply -\frac{1}{4} times -\frac{1}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{16}x+\frac{-\left(-1\right)}{4\times 8}$$

Do the multiplications in the fraction \frac{-\left(-1\right)}{4\times 8}.

$$\frac{1}{16}x+\frac{1}{32}$$

Expand

$$\frac{x}{16}+\frac{1}{32}$$

Solution Steps

Combine \frac{1}{2}x and -\frac{3}{4}x to get -\frac{1}{4}x.

$$-\frac{1}{4}\left(-\frac{1}{4}x-\frac{1}{8}\right)$$

Use the distributive property to multiply -\frac{1}{4} by -\frac{1}{4}x-\frac{1}{8}.

$$-\frac{1}{4}\left(-\frac{1}{4}\right)x-\frac{1}{4}\left(-\frac{1}{8}\right)$$

Multiply -\frac{1}{4} times -\frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-\left(-1\right)}{4\times 4}x-\frac{1}{4}\left(-\frac{1}{8}\right)$$

Do the multiplications in the fraction \frac{-\left(-1\right)}{4\times 4}.

$$\frac{1}{16}x-\frac{1}{4}\left(-\frac{1}{8}\right)$$

Multiply -\frac{1}{4} times -\frac{1}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{16}x+\frac{-\left(-1\right)}{4\times 8}$$

Do the multiplications in the fraction \frac{-\left(-1\right)}{4\times 8}.

$$\frac{1}{16}x+\frac{1}{32}$$