Solve 3/14+5/22

$$\frac { 3 } { 14 } + \frac { 5 } { 22 }$$

Evaluate

$$\frac{34}{77}\approx 0.441558442$$

Solution Steps

Least common multiple of 14 and 22 is 154. Convert \frac{3}{14} and \frac{5}{22} to fractions with denominator 154.

$$\frac{33}{154}+\frac{35}{154}$$

Since \frac{33}{154} and \frac{35}{154} have the same denominator, add them by adding their numerators.

$$\frac{33+35}{154}$$

Add 33 and 35 to get 68.

$$\frac{68}{154}$$

Reduce the fraction \frac{68}{154} to lowest terms by extracting and canceling out 2.

$$\frac{34}{77}$$

Factor

$$\frac{2 \cdot 17}{7 \cdot 11} = 0.44155844155844154$$