Question

What is the best choice for the common denominator in this problem.

Answer 1

Given:-

$\frac{1}{5}+\frac{2}{6}$

To find the required value.

So to add the given fraction. first we should have same denominator. so we take LCM,

$\text{LCM of 5 and 6 is 30.}$

So we get,

$\frac{1}{5}+\frac{2}{6}=\frac{1\times6}{5\times6}+\frac{2\times5}{6\times5}=\frac{6}{30}+\frac{10}{30}=\frac{16}{30}$

So the correct denominator is 30.