Solve 4/17+6/13

$$\frac { 4 } { 17 } + \frac { 6 } { 13 }$$

Evaluate

$$\frac{154}{221}\approx 0.696832579$$

Solution Steps

Least common multiple of 17 and 13 is 221. Convert \frac{4}{17} and \frac{6}{13} to fractions with denominator 221.

$$\frac{52}{221}+\frac{102}{221}$$

Since \frac{52}{221} and \frac{102}{221} have the same denominator, add them by adding their numerators.

$$\frac{52+102}{221}$$

Add 52 and 102 to get 154.

$$\frac{154}{221}$$

Factor

$$\frac{2 \cdot 7 \cdot 11}{13 \cdot 17} = 0.6968325791855203$$