Solve 5/6+5/7

$$\frac { 5 } { 6 } + \frac { 5 } { 7 }$$

Evaluate

$$\frac{65}{42}\approx 1.547619048$$

Solution Steps

Least common multiple of 6 and 7 is 42. Convert \frac{5}{6} and \frac{5}{7} to fractions with denominator 42.

$$\frac{35}{42}+\frac{30}{42}$$

Since \frac{35}{42} and \frac{30}{42} have the same denominator, add them by adding their numerators.

$$\frac{35+30}{42}$$

Add 35 and 30 to get 65.

$$\frac{65}{42}$$

Factor

$$\frac{5 \cdot 13}{2 \cdot 3 \cdot 7} = 1\frac{23}{42} = 1.5476190476190477$$