Solve (-51/2)-(-1/3)

$$( - 5 \frac { 1 } { 2 } ) - ( - \frac { 1 } { 3 } )$$

Evaluate

$$-\frac{31}{6}\approx -5.166666667$$

Solution Steps

Multiply 5 and 2 to get 10.

$$-\frac{10+1}{2}-\left(-\frac{1}{3}\right)$$

Add 10 and 1 to get 11.

$$-\frac{11}{2}-\left(-\frac{1}{3}\right)$$

The opposite of -\frac{1}{3} is \frac{1}{3}.

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

Least common multiple of 2 and 3 is 6. Convert -\frac{11}{2} and \frac{1}{3} to fractions with denominator 6.

$$-\frac{33}{6}+\frac{2}{6}$$

Since -\frac{33}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$\frac{-33+2}{6}$$

Add -33 and 2 to get -31.

$$-\frac{31}{6}$$

Factor

$$-\frac{31}{6} = -5\frac{1}{6} = -5.166666666666667$$