Solve (-3113/3)-(-19/9)

$$( - 3 \frac { 113 } { 3 } ) - ( - 1 \frac { 9 } { 9 } )$$

Evaluate

$$-\frac{116}{3}\approx -38.666666667$$

Solution Steps

Multiply 3 and 3 to get 9.

$$-\frac{9+113}{3}-\left(-\frac{1\times 9+9}{9}\right)$$

Add 9 and 113 to get 122.

$$-\frac{122}{3}-\left(-\frac{1\times 9+9}{9}\right)$$

Multiply 1 and 9 to get 9.

$$-\frac{122}{3}-\left(-\frac{9+9}{9}\right)$$

Add 9 and 9 to get 18.

$$-\frac{122}{3}-\left(-\frac{18}{9}\right)$$

Divide 18 by 9 to get 2.

$$-\frac{122}{3}-\left(-2\right)$$

The opposite of -2 is 2.

$$-\frac{122}{3}+2$$

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

$$-\frac{122}{3}+\frac{6}{3}$$

Since -\frac{122}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.

$$\frac{-122+6}{3}$$

Add -122 and 6 to get -116.

$$-\frac{116}{3}$$

Factor

$$-\frac{116}{3} = -38\frac{2}{3} = -38.666666666666664$$