Solve 5/12+3/5+1/7

$$\frac { 5 } { 12 } + \frac { 3 } { 5 } + \frac { 1 } { 7 }$$

Evaluate

$$\frac{487}{420}\approx 1.15952381$$

Solution Steps

Least common multiple of 12 and 5 is 60. Convert \frac{5}{12} and \frac{3}{5} to fractions with denominator 60.

$$\frac{25}{60}+\frac{36}{60}+\frac{1}{7}$$

Since \frac{25}{60} and \frac{36}{60} have the same denominator, add them by adding their numerators.

$$\frac{25+36}{60}+\frac{1}{7}$$

Add 25 and 36 to get 61.

$$\frac{61}{60}+\frac{1}{7}$$

Least common multiple of 60 and 7 is 420. Convert \frac{61}{60} and \frac{1}{7} to fractions with denominator 420.

$$\frac{427}{420}+\frac{60}{420}$$

Since \frac{427}{420} and \frac{60}{420} have the same denominator, add them by adding their numerators.

$$\frac{427+60}{420}$$

Add 427 and 60 to get 487.

$$\frac{487}{420}$$

Factor

$$\frac{487}{2 ^ {2} \cdot 3 \cdot 5 \cdot 7} = 1\frac{67}{420} = 1.1595238095238096$$