Solve -4+2/3-44/12-4/3=

$$- 4 + \frac { 2 } { 3 } - \frac { 44 } { 12 } - \frac { 4 } { 3 } =$$

Evaluate

$$-\frac{25}{3}\approx -8.333333333$$

Solution Steps

Convert -4 to fraction -\frac{12}{3}.

$$-\frac{12}{3}+\frac{2}{3}-\frac{44}{12}-\frac{4}{3}$$

Since -\frac{12}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

$$\frac{-12+2}{3}-\frac{44}{12}-\frac{4}{3}$$

Add -12 and 2 to get -10.

$$-\frac{10}{3}-\frac{44}{12}-\frac{4}{3}$$

Reduce the fraction \frac{44}{12} to lowest terms by extracting and canceling out 4.

$$-\frac{10}{3}-\frac{11}{3}-\frac{4}{3}$$

Since -\frac{10}{3} and \frac{11}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-10-11}{3}-\frac{4}{3}$$

Subtract 11 from -10 to get -21.

$$\frac{-21}{3}-\frac{4}{3}$$

Divide -21 by 3 to get -7.

$$-7-\frac{4}{3}$$

Convert -7 to fraction -\frac{21}{3}.

$$-\frac{21}{3}-\frac{4}{3}$$

Since -\frac{21}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-21-4}{3}$$

Subtract 4 from -21 to get -25.

$$-\frac{25}{3}$$

Factor

$$-\frac{25}{3} = -8\frac{1}{3} = -8.333333333333334$$