Solve -22/3+31/8

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

Evaluate

$$\frac{11}{24}\approx 0.458333333$$

Solution Steps

Multiply 2 and 3 to get 6.

$$-\frac{6+2}{3}+\frac{3\times 8+1}{8}$$

Add 6 and 2 to get 8.

$$-\frac{8}{3}+\frac{3\times 8+1}{8}$$

Multiply 3 and 8 to get 24.

$$-\frac{8}{3}+\frac{24+1}{8}$$

Add 24 and 1 to get 25.

$$-\frac{8}{3}+\frac{25}{8}$$

Least common multiple of 3 and 8 is 24. Convert -\frac{8}{3} and \frac{25}{8} to fractions with denominator 24.

$$-\frac{64}{24}+\frac{75}{24}$$

Since -\frac{64}{24} and \frac{75}{24} have the same denominator, add them by adding their numerators.

$$\frac{-64+75}{24}$$

Add -64 and 75 to get 11.

$$\frac{11}{24}$$

Factor

$$\frac{11}{2 ^ {3} \cdot 3} = 0.4583333333333333$$