Solve (-31/3)-(-41/2)=

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

Evaluate

$$\frac{7}{6}\approx 1.166666667$$

Solution Steps

Multiply 3 and 3 to get 9.

$$-\frac{9+1}{3}-\left(-\frac{4\times 2+1}{2}\right)$$

Add 9 and 1 to get 10.

$$-\frac{10}{3}-\left(-\frac{4\times 2+1}{2}\right)$$

Multiply 4 and 2 to get 8.

$$-\frac{10}{3}-\left(-\frac{8+1}{2}\right)$$

Add 8 and 1 to get 9.

$$-\frac{10}{3}-\left(-\frac{9}{2}\right)$$

The opposite of -\frac{9}{2} is \frac{9}{2}.

$$-\frac{10}{3}+\frac{9}{2}$$

Least common multiple of 3 and 2 is 6. Convert -\frac{10}{3} and \frac{9}{2} to fractions with denominator 6.

$$-\frac{20}{6}+\frac{27}{6}$$

Since -\frac{20}{6} and \frac{27}{6} have the same denominator, add them by adding their numerators.

$$\frac{-20+27}{6}$$

Add -20 and 27 to get 7.

$$\frac{7}{6}$$

Factor

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1.1666666666666667$$