Solve 65/169+5/18

$$\frac{ 65 }{ 169 } + \frac{ 5 }{ 18 }$$

Evaluate

$$\frac{155}{234}\approx 0.662393162$$

Solution Steps

Reduce the fraction \frac{65}{169} to lowest terms by extracting and canceling out 13.

$$\frac{5}{13}+\frac{5}{18}$$

Least common multiple of 13 and 18 is 234. Convert \frac{5}{13} and \frac{5}{18} to fractions with denominator 234.

$$\frac{90}{234}+\frac{65}{234}$$

Since \frac{90}{234} and \frac{65}{234} have the same denominator, add them by adding their numerators.

$$\frac{90+65}{234}$$

Add 90 and 65 to get 155.

$$\frac{155}{234}$$

Factor

$$\frac{5 \cdot 31}{2 \cdot 3 ^ {2} \cdot 13} = 0.6623931623931624$$