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

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

Evaluate

$$\frac{-x-1}{6}$$

Solution Steps

Use the distributive property to multiply \frac{1}{3} by -\frac{1}{2}x-\frac{1}{2}.

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

Multiply \frac{1}{3} times -\frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\left(-1\right)}{3\times 2}.

$$\frac{-1}{6}x+\frac{1}{3}\left(-\frac{1}{2}\right)$$

Fraction \frac{-1}{6} can be rewritten as -\frac{1}{6} by extracting the negative sign.

$$-\frac{1}{6}x+\frac{1}{3}\left(-\frac{1}{2}\right)$$

Multiply \frac{1}{3} times -\frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{1}{6}x+\frac{1\left(-1\right)}{3\times 2}$$

Do the multiplications in the fraction \frac{1\left(-1\right)}{3\times 2}.

$$-\frac{1}{6}x+\frac{-1}{6}$$

Fraction \frac{-1}{6} can be rewritten as -\frac{1}{6} by extracting the negative sign.

$$-\frac{1}{6}x-\frac{1}{6}$$

Expand

$$\frac{-x-1}{6}$$

Solution Steps

Use the distributive property to multiply \frac{1}{3} by -\frac{1}{2}x-\frac{1}{2}.

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

Multiply \frac{1}{3} times -\frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\left(-1\right)}{3\times 2}.

$$\frac{-1}{6}x+\frac{1}{3}\left(-\frac{1}{2}\right)$$

Fraction \frac{-1}{6} can be rewritten as -\frac{1}{6} by extracting the negative sign.

$$-\frac{1}{6}x+\frac{1}{3}\left(-\frac{1}{2}\right)$$

Multiply \frac{1}{3} times -\frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{1}{6}x+\frac{1\left(-1\right)}{3\times 2}$$

Do the multiplications in the fraction \frac{1\left(-1\right)}{3\times 2}.

$$-\frac{1}{6}x+\frac{-1}{6}$$

Fraction \frac{-1}{6} can be rewritten as -\frac{1}{6} by extracting the negative sign.

$$-\frac{1}{6}x-\frac{1}{6}$$