Solve 11/16+7/24

$$\frac { 11 } { 16 } + \frac { 7 } { 24 }$$

Evaluate

$$\frac{47}{48}\approx 0.979166667$$

Solution Steps

Least common multiple of 16 and 24 is 48. Convert \frac{11}{16} and \frac{7}{24} to fractions with denominator 48.

$$\frac{33}{48}+\frac{14}{48}$$

Since \frac{33}{48} and \frac{14}{48} have the same denominator, add them by adding their numerators.

$$\frac{33+14}{48}$$

Add 33 and 14 to get 47.

$$\frac{47}{48}$$

Factor

$$\frac{47}{2 ^ {4} \cdot 3} = 0.9791666666666666$$