Solve -41/2+1/3+(-15/2)+2

$$- 4 \frac { 1 } { 2 } + \frac { 1 } { 3 } + ( - \frac { 15 } { 2 } ) + 2$$

Evaluate

$$-\frac{29}{3}\approx -9.666666667$$

Solution Steps

Multiply 4 and 2 to get 8.

$$-\frac{8+1}{2}+\frac{1}{3}-\frac{15}{2}+2$$

Add 8 and 1 to get 9.

$$-\frac{9}{2}+\frac{1}{3}-\frac{15}{2}+2$$

Least common multiple of 2 and 3 is 6. Convert -\frac{9}{2} and \frac{1}{3} to fractions with denominator 6.

$$-\frac{27}{6}+\frac{2}{6}-\frac{15}{2}+2$$

Since -\frac{27}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$\frac{-27+2}{6}-\frac{15}{2}+2$$

Add -27 and 2 to get -25.

$$-\frac{25}{6}-\frac{15}{2}+2$$

Least common multiple of 6 and 2 is 6. Convert -\frac{25}{6} and \frac{15}{2} to fractions with denominator 6.

$$-\frac{25}{6}-\frac{45}{6}+2$$

Since -\frac{25}{6} and \frac{45}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-25-45}{6}+2$$

Subtract 45 from -25 to get -70.

$$\frac{-70}{6}+2$$

Reduce the fraction \frac{-70}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{35}{3}+2$$

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

$$-\frac{35}{3}+\frac{6}{3}$$

Since -\frac{35}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.

$$\frac{-35+6}{3}$$

Add -35 and 6 to get -29.

$$-\frac{29}{3}$$

Factor

$$-\frac{29}{3} = -9\frac{2}{3} = -9.666666666666666$$