Solve 5/6+3/14

$$\frac { 5 } { 6 } + \frac { 3 } { 14 }$$

Evaluate

$$\frac{22}{21}\approx 1.047619048$$

Solution Steps

Least common multiple of 6 and 14 is 42. Convert \frac{5}{6} and \frac{3}{14} to fractions with denominator 42.

$$\frac{35}{42}+\frac{9}{42}$$

Since \frac{35}{42} and \frac{9}{42} have the same denominator, add them by adding their numerators.

$$\frac{35+9}{42}$$

Add 35 and 9 to get 44.

$$\frac{44}{42}$$

Reduce the fraction \frac{44}{42} to lowest terms by extracting and canceling out 2.

$$\frac{22}{21}$$

Factor

$$\frac{2 \cdot 11}{3 \cdot 7} = 1\frac{1}{21} = 1.0476190476190477$$