Solve -32/3-21/2=

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

Evaluate

$$-\frac{37}{6}\approx -6.166666667$$

Solution Steps

Multiply 3 and 3 to get 9.

$$-\frac{9+2}{3}-\frac{2\times 2+1}{2}$$

Add 9 and 2 to get 11.

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

Multiply 2 and 2 to get 4.

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

Add 4 and 1 to get 5.

$$-\frac{11}{3}-\frac{5}{2}$$

Least common multiple of 3 and 2 is 6. Convert -\frac{11}{3} and \frac{5}{2} to fractions with denominator 6.

$$-\frac{22}{6}-\frac{15}{6}$$

Since -\frac{22}{6} and \frac{15}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-22-15}{6}$$

Subtract 15 from -22 to get -37.

$$-\frac{37}{6}$$

Factor

$$-\frac{37}{6} = -6\frac{1}{6} = -6.166666666666667$$