Solve -(+31/3)-(-12/3)

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

Evaluate

$$-\frac{5}{3}\approx -1.666666667$$

Solution Steps

Multiply 3 and 3 to get 9.

$$-\frac{9+1}{3}-\left(-\frac{1\times 3+2}{3}\right)$$

Add 9 and 1 to get 10.

$$-\frac{10}{3}-\left(-\frac{1\times 3+2}{3}\right)$$

Multiply 1 and 3 to get 3.

$$-\frac{10}{3}-\left(-\frac{3+2}{3}\right)$$

Add 3 and 2 to get 5.

$$-\frac{10}{3}-\left(-\frac{5}{3}\right)$$

The opposite of -\frac{5}{3} is \frac{5}{3}.

$$-\frac{10}{3}+\frac{5}{3}$$

Since -\frac{10}{3} and \frac{5}{3} have the same denominator, add them by adding their numerators.

$$\frac{-10+5}{3}$$

Add -10 and 5 to get -5.

$$-\frac{5}{3}$$

Factor

$$-\frac{5}{3} = -1\frac{2}{3} = -1.6666666666666667$$