Solve 3/7+5/6

$$\frac{ 3 }{ 7 } + \frac{ 5 }{ 6 }$$

Evaluate

$$\frac{53}{42}\approx 1.261904762$$

Solution Steps

Least common multiple of 7 and 6 is 42. Convert \frac{3}{7} and \frac{5}{6} to fractions with denominator 42.

$$\frac{18}{42}+\frac{35}{42}$$

Since \frac{18}{42} and \frac{35}{42} have the same denominator, add them by adding their numerators.

$$\frac{18+35}{42}$$

Add 18 and 35 to get 53.

$$\frac{53}{42}$$

Factor

$$\frac{53}{2 \cdot 3 \cdot 7} = 1\frac{11}{42} = 1.2619047619047619$$