Solve -1/6left(6-18right)-121/3

$$- \frac{ 1 }{ 6 } \left( 6-18 \right) -12 \frac{ 1 }{ 3 }$$

Evaluate

$$-\frac{31}{3}\approx -10.333333333$$

Solution Steps

Subtract 18 from 6 to get -12.

$$-\frac{1}{6}\left(-12\right)-\frac{12\times 3+1}{3}$$

Express -\frac{1}{6}\left(-12\right) as a single fraction.

$$\frac{-\left(-12\right)}{6}-\frac{12\times 3+1}{3}$$

Multiply -1 and -12 to get 12.

$$\frac{12}{6}-\frac{12\times 3+1}{3}$$

Divide 12 by 6 to get 2.

$$2-\frac{12\times 3+1}{3}$$

Multiply 12 and 3 to get 36.

$$2-\frac{36+1}{3}$$

Add 36 and 1 to get 37.

$$2-\frac{37}{3}$$

Convert 2 to fraction \frac{6}{3}.

$$\frac{6}{3}-\frac{37}{3}$$

Since \frac{6}{3} and \frac{37}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-37}{3}$$

Subtract 37 from 6 to get -31.

$$-\frac{31}{3}$$

Factor

$$-\frac{31}{3} = -10\frac{1}{3} = -10.333333333333334$$