Solve 1/2+1/7+1/8

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

Evaluate

$$\frac{43}{56}\approx 0.767857143$$

Solution Steps

Least common multiple of 2 and 7 is 14. Convert \frac{1}{2} and \frac{1}{7} to fractions with denominator 14.

$$\frac{7}{14}+\frac{2}{14}+\frac{1}{8}$$

Since \frac{7}{14} and \frac{2}{14} have the same denominator, add them by adding their numerators.

$$\frac{7+2}{14}+\frac{1}{8}$$

Add 7 and 2 to get 9.

$$\frac{9}{14}+\frac{1}{8}$$

Least common multiple of 14 and 8 is 56. Convert \frac{9}{14} and \frac{1}{8} to fractions with denominator 56.

$$\frac{36}{56}+\frac{7}{56}$$

Since \frac{36}{56} and \frac{7}{56} have the same denominator, add them by adding their numerators.

$$\frac{36+7}{56}$$

Add 36 and 7 to get 43.

$$\frac{43}{56}$$

Factor

$$\frac{43}{2 ^ {3} \cdot 7} = 0.7678571428571429$$