Solve {l}{(7/8+1/2)}{-5/3}

$$\left. \begin{array} { l } { ( \frac { 7 } { 8 } + \frac { 1 } { 2 } ) } \\ { - \frac { 5 } { 3 } } \end{array} \right.$$

Evaluate

$$-\frac{7}{24}\approx -0.291666667$$

Solution Steps

Least common multiple of 8 and 2 is 8. Convert \frac{7}{8} and \frac{1}{2} to fractions with denominator 8.

$$\frac{7}{8}+\frac{4}{8}-\frac{5}{3}$$

Since \frac{7}{8} and \frac{4}{8} have the same denominator, add them by adding their numerators.

$$\frac{7+4}{8}-\frac{5}{3}$$

Add 7 and 4 to get 11.

$$\frac{11}{8}-\frac{5}{3}$$

Least common multiple of 8 and 3 is 24. Convert \frac{11}{8} and \frac{5}{3} to fractions with denominator 24.

$$\frac{33}{24}-\frac{40}{24}$$

Since \frac{33}{24} and \frac{40}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-40}{24}$$

Subtract 40 from 33 to get -7.

$$-\frac{7}{24}$$

Factor

$$-\frac{7}{24} = -0.2916666666666667$$