Solve (+11/12)+(-3/8)

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

Evaluate

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

Solution Steps

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

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