Solve 1/2(6-61/3)

$$\frac { 1 } { 2 } ( 6 - 6 \frac { 1 } { 3 } )$$

Evaluate

$$-\frac{1}{6}\approx -0.166666667$$

Solution Steps

Multiply 6 and 3 to get 18.

$$\frac{1}{2}\left(6-\frac{18+1}{3}\right)$$

Add 18 and 1 to get 19.

$$\frac{1}{2}\left(6-\frac{19}{3}\right)$$

Convert 6 to fraction \frac{18}{3}.

$$\frac{1}{2}\left(\frac{18}{3}-\frac{19}{3}\right)$$

Since \frac{18}{3} and \frac{19}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{2}\times \frac{18-19}{3}$$

Subtract 19 from 18 to get -1.

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

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

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

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

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

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

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

Factor

$$-\frac{1}{6} = -0.16666666666666666$$