Question

Add. Write each sum in the lowest terms.

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

Answer 1

While adding fraction having, unlike denominators. The least common multiple of the denominators is always the least common denominator.

Also, we can use the product of the denominators to get a common denominator keeping in mind that the denominators are prime.

We have $\frac{1}{5}+\frac{1}{2}$

The least common multiple of the denominators $(5,2)=10$

$$\begin{gathered} \frac{1}{5}+\frac{1}{2}=\frac{2}{10}+\frac{5}{10}(changing\frac{1}{5}\&\frac{1}{2}inequivalentfractionhavingdenominatoras10) \\ =\frac{7}{10} \end{gathered}$$

Therefore the required sum in the lowest term is $\frac{7}{10}$.