Solve 2/5+1/6+7/8

$$\frac { 2 } { 5 } + \frac { 1 } { 6 } + \frac { 7 } { 8 }$$

Evaluate

$$\frac{173}{120}\approx 1.441666667$$

Solution Steps

Least common multiple of 5 and 6 is 30. Convert \frac{2}{5} and \frac{1}{6} to fractions with denominator 30.

$$\frac{12}{30}+\frac{5}{30}+\frac{7}{8}$$

Since \frac{12}{30} and \frac{5}{30} have the same denominator, add them by adding their numerators.

$$\frac{12+5}{30}+\frac{7}{8}$$

Add 12 and 5 to get 17.

$$\frac{17}{30}+\frac{7}{8}$$

Least common multiple of 30 and 8 is 120. Convert \frac{17}{30} and \frac{7}{8} to fractions with denominator 120.

$$\frac{68}{120}+\frac{105}{120}$$

Since \frac{68}{120} and \frac{105}{120} have the same denominator, add them by adding their numerators.

$$\frac{68+105}{120}$$

Add 68 and 105 to get 173.

$$\frac{173}{120}$$

Factor

$$\frac{173}{2 ^ {3} \cdot 3 \cdot 5} = 1\frac{53}{120} = 1.4416666666666667$$