Solve 1/4+5/6-5/8

$$\frac { 1 } { 4 } + \frac { 5 } { 6 } - \frac { 5 } { 8 }$$

Evaluate

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

Solution Steps

Least common multiple of 4 and 6 is 12. Convert \frac{1}{4} and \frac{5}{6} to fractions with denominator 12.

$$\frac{3}{12}+\frac{10}{12}-\frac{5}{8}$$

Since \frac{3}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.

$$\frac{3+10}{12}-\frac{5}{8}$$

Add 3 and 10 to get 13.

$$\frac{13}{12}-\frac{5}{8}$$

Least common multiple of 12 and 8 is 24. Convert \frac{13}{12} and \frac{5}{8} to fractions with denominator 24.

$$\frac{26}{24}-\frac{15}{24}$$

Since \frac{26}{24} and \frac{15}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-15}{24}$$

Subtract 15 from 26 to get 11.

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

Factor

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