Solve 11/8-(2/3-1/4)

$$\frac { 11 } { 8 } - ( \frac { 2 } { 3 } - \frac { 1 } { 4 } )$$

Evaluate

$$\frac{23}{24}\approx 0.958333333$$

Solution Steps

Least common multiple of 3 and 4 is 12. Convert \frac{2}{3} and \frac{1}{4} to fractions with denominator 12.

$$\frac{11}{8}-\left(\frac{8}{12}-\frac{3}{12}\right)$$

Since \frac{8}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11}{8}-\frac{8-3}{12}$$

Subtract 3 from 8 to get 5.

$$\frac{11}{8}-\frac{5}{12}$$

Least common multiple of 8 and 12 is 24. Convert \frac{11}{8} and \frac{5}{12} to fractions with denominator 24.

$$\frac{33}{24}-\frac{10}{24}$$

Since \frac{33}{24} and \frac{10}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-10}{24}$$

Subtract 10 from 33 to get 23.

$$\frac{23}{24}$$

Factor

$$\frac{23}{2 ^ {3} \cdot 3} = 0.9583333333333334$$