Solve -31/12+23/4-12/3

$$- 3 \frac { 1 } { 12 } + 2 \frac { 3 } { 4 } - 1 \frac { 2 } { 3 }$$

Evaluate

$$-2$$

Solution Steps

Multiply 3 and 12 to get 36.

$$-\frac{36+1}{12}+\frac{2\times 4+3}{4}-\frac{1\times 3+2}{3}$$

Add 36 and 1 to get 37.

$$-\frac{37}{12}+\frac{2\times 4+3}{4}-\frac{1\times 3+2}{3}$$

Multiply 2 and 4 to get 8.

$$-\frac{37}{12}+\frac{8+3}{4}-\frac{1\times 3+2}{3}$$

Add 8 and 3 to get 11.

$$-\frac{37}{12}+\frac{11}{4}-\frac{1\times 3+2}{3}$$

Least common multiple of 12 and 4 is 12. Convert -\frac{37}{12} and \frac{11}{4} to fractions with denominator 12.

$$-\frac{37}{12}+\frac{33}{12}-\frac{1\times 3+2}{3}$$

Since -\frac{37}{12} and \frac{33}{12} have the same denominator, add them by adding their numerators.

$$\frac{-37+33}{12}-\frac{1\times 3+2}{3}$$

Add -37 and 33 to get -4.

$$\frac{-4}{12}-\frac{1\times 3+2}{3}$$

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

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

Multiply 1 and 3 to get 3.

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

Add 3 and 2 to get 5.

$$-\frac{1}{3}-\frac{5}{3}$$

Since -\frac{1}{3} and \frac{5}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-5}{3}$$

Subtract 5 from -1 to get -6.

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

Divide -6 by 3 to get -2.

$$-2$$

Factor

$$-2$$