Solve 3/4+5/6+7/8

$$\frac { 3 } { 4 } + \frac { 5 } { 6 } + \frac { 7 } { 8 }$$

Evaluate

$$\frac{59}{24}\approx 2.458333333$$

Solution Steps

Least common multiple of 4 and 6 is 12. Convert \frac{3}{4} and \frac{5}{6} to fractions with denominator 12.

$$\frac{9}{12}+\frac{10}{12}+\frac{7}{8}$$

Since \frac{9}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+10}{12}+\frac{7}{8}$$

Add 9 and 10 to get 19.

$$\frac{19}{12}+\frac{7}{8}$$

Least common multiple of 12 and 8 is 24. Convert \frac{19}{12} and \frac{7}{8} to fractions with denominator 24.

$$\frac{38}{24}+\frac{21}{24}$$

Since \frac{38}{24} and \frac{21}{24} have the same denominator, add them by adding their numerators.

$$\frac{38+21}{24}$$

Add 38 and 21 to get 59.

$$\frac{59}{24}$$

Factor

$$\frac{59}{2 ^ {3} \cdot 3} = 2\frac{11}{24} = 2.4583333333333335$$