Solve (-12/3)-(+3/4)+(-21/6)=

$$( - 1 \frac { 2 } { 3 } ) - ( + \frac { 3 } { 4 } ) + ( - 2 \frac { 1 } { 6 } ) =$$

Evaluate

$$-\frac{55}{12}\approx -4.583333333$$

Solution Steps

Multiply 1 and 3 to get 3.

$$-\frac{3+2}{3}-\frac{3}{4}-\frac{2\times 6+1}{6}$$

Add 3 and 2 to get 5.

$$-\frac{5}{3}-\frac{3}{4}-\frac{2\times 6+1}{6}$$

Least common multiple of 3 and 4 is 12. Convert -\frac{5}{3} and \frac{3}{4} to fractions with denominator 12.

$$-\frac{20}{12}-\frac{9}{12}-\frac{2\times 6+1}{6}$$

Since -\frac{20}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-20-9}{12}-\frac{2\times 6+1}{6}$$

Subtract 9 from -20 to get -29.

$$-\frac{29}{12}-\frac{2\times 6+1}{6}$$

Multiply 2 and 6 to get 12.

$$-\frac{29}{12}-\frac{12+1}{6}$$

Add 12 and 1 to get 13.

$$-\frac{29}{12}-\frac{13}{6}$$

Least common multiple of 12 and 6 is 12. Convert -\frac{29}{12} and \frac{13}{6} to fractions with denominator 12.

$$-\frac{29}{12}-\frac{26}{12}$$

Since -\frac{29}{12} and \frac{26}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-29-26}{12}$$

Subtract 26 from -29 to get -55.

$$-\frac{55}{12}$$

Factor

$$-\frac{55}{12} = -4\frac{7}{12} = -4.583333333333333$$