Solve 1/6+3/4-3/8

$$\frac { 1 } { 6 } + \frac { 3 } { 4 } - \frac { 3 } { 8 }$$

Evaluate

$$\frac{13}{24}\approx 0.541666667$$

Solution Steps

Least common multiple of 6 and 4 is 12. Convert \frac{1}{6} and \frac{3}{4} to fractions with denominator 12.

$$\frac{2}{12}+\frac{9}{12}-\frac{3}{8}$$

Since \frac{2}{12} and \frac{9}{12} have the same denominator, add them by adding their numerators.

$$\frac{2+9}{12}-\frac{3}{8}$$

Add 2 and 9 to get 11.

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

Least common multiple of 12 and 8 is 24. Convert \frac{11}{12} and \frac{3}{8} to fractions with denominator 24.

$$\frac{22}{24}-\frac{9}{24}$$

Since \frac{22}{24} and \frac{9}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{22-9}{24}$$

Subtract 9 from 22 to get 13.

$$\frac{13}{24}$$

Factor

$$\frac{13}{2 ^ {3} \cdot 3} = 0.5416666666666666$$