Solve 3/8+5/6-1/2

$$\frac { 3 } { 8 } + \frac { 5 } { 6 } - \frac { 1 } { 2 }$$

Evaluate

$$\frac{17}{24}\approx 0.708333333$$

Solution Steps

Least common multiple of 8 and 6 is 24. Convert \frac{3}{8} and \frac{5}{6} to fractions with denominator 24.

$$\frac{9}{24}+\frac{20}{24}-\frac{1}{2}$$

Since \frac{9}{24} and \frac{20}{24} have the same denominator, add them by adding their numerators.

$$\frac{9+20}{24}-\frac{1}{2}$$

Add 9 and 20 to get 29.

$$\frac{29}{24}-\frac{1}{2}$$

Least common multiple of 24 and 2 is 24. Convert \frac{29}{24} and \frac{1}{2} to fractions with denominator 24.

$$\frac{29}{24}-\frac{12}{24}$$

Since \frac{29}{24} and \frac{12}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{29-12}{24}$$

Subtract 12 from 29 to get 17.

$$\frac{17}{24}$$

Factor

$$\frac{17}{2 ^ {3} \cdot 3} = 0.7083333333333334$$