Solve 5/8+1/12-5/16

$$\frac { 5 } { 8 } + \frac { 1 } { 12 } - \frac { 5 } { 16 }$$

Evaluate

$$\frac{19}{48}\approx 0.395833333$$

Solution Steps

Least common multiple of 8 and 12 is 24. Convert \frac{5}{8} and \frac{1}{12} to fractions with denominator 24.

$$\frac{15}{24}+\frac{2}{24}-\frac{5}{16}$$

Since \frac{15}{24} and \frac{2}{24} have the same denominator, add them by adding their numerators.

$$\frac{15+2}{24}-\frac{5}{16}$$

Add 15 and 2 to get 17.

$$\frac{17}{24}-\frac{5}{16}$$

Least common multiple of 24 and 16 is 48. Convert \frac{17}{24} and \frac{5}{16} to fractions with denominator 48.

$$\frac{34}{48}-\frac{15}{48}$$

Since \frac{34}{48} and \frac{15}{48} have the same denominator, subtract them by subtracting their numerators.

$$\frac{34-15}{48}$$

Subtract 15 from 34 to get 19.

$$\frac{19}{48}$$

Factor

$$\frac{19}{2 ^ {4} \cdot 3} = 0.3958333333333333$$