Solve 7/8+1/16+17/24

$$\frac { 7 } { 8 } + \frac { 1 } { 16 } + \frac { 17 } { 24 }$$

Evaluate

$$\frac{79}{48}\approx 1.645833333$$

Solution Steps

Least common multiple of 8 and 16 is 16. Convert \frac{7}{8} and \frac{1}{16} to fractions with denominator 16.

$$\frac{14}{16}+\frac{1}{16}+\frac{17}{24}$$

Since \frac{14}{16} and \frac{1}{16} have the same denominator, add them by adding their numerators.

$$\frac{14+1}{16}+\frac{17}{24}$$

Add 14 and 1 to get 15.

$$\frac{15}{16}+\frac{17}{24}$$

Least common multiple of 16 and 24 is 48. Convert \frac{15}{16} and \frac{17}{24} to fractions with denominator 48.

$$\frac{45}{48}+\frac{34}{48}$$

Since \frac{45}{48} and \frac{34}{48} have the same denominator, add them by adding their numerators.

$$\frac{45+34}{48}$$

Add 45 and 34 to get 79.

$$\frac{79}{48}$$

Factor

$$\frac{79}{2 ^ {4} \cdot 3} = 1\frac{31}{48} = 1.6458333333333333$$