Question

Add $\frac{2}{7}$ and $\frac{3}{14}$ and express the sum in its lowest terms.

Answer 1

$L.C.M.of7and14is7\times 2=14$

Now,

$\frac{2}{7}=\frac{2\times 2}{7\times 2}=\frac{4}{14}$

$\therefore \frac{2}{7}+\frac{3}{14}=\frac{4}{14}+\frac{3}{14}=\frac{4+3}{14}=\frac{7}{14}$

Reducing to the lowest form, we get

$\frac{7}{14}=\frac{7÷7}{14÷7}=\frac{1}{2}$