Solve 5/7+3/8+5/12=

$$\frac{ 5 }{ 7 } + \frac{ 3 }{ 8 } + \frac{ 5 }{ 12 } =$$

Evaluate

$$\frac{253}{168}\approx 1.505952381$$

Solution Steps

Least common multiple of 7 and 8 is 56. Convert \frac{5}{7} and \frac{3}{8} to fractions with denominator 56.

$$\frac{40}{56}+\frac{21}{56}+\frac{5}{12}$$

Since \frac{40}{56} and \frac{21}{56} have the same denominator, add them by adding their numerators.

$$\frac{40+21}{56}+\frac{5}{12}$$

Add 40 and 21 to get 61.

$$\frac{61}{56}+\frac{5}{12}$$

Least common multiple of 56 and 12 is 168. Convert \frac{61}{56} and \frac{5}{12} to fractions with denominator 168.

$$\frac{183}{168}+\frac{70}{168}$$

Since \frac{183}{168} and \frac{70}{168} have the same denominator, add them by adding their numerators.

$$\frac{183+70}{168}$$

Add 183 and 70 to get 253.

$$\frac{253}{168}$$

Factor

$$\frac{11 \cdot 23}{2 ^ {3} \cdot 3 \cdot 7} = 1\frac{85}{168} = 1.505952380952381$$