Question

Find the sum:
$$\dfrac{2}{9} + \dfrac{5}{6}$$

Answer 1

Given

$$\dfrac{2}{9} + \dfrac{5}{6}$$

We need to find the L.C.M of $$9,6$$

(Refer to Image $$4.1$$) L.C.M of $$9$$ and $$6$$ is $$=3\times3\times 2=18$$

So,

$$\dfrac{2}{9}=\dfrac{2\times 2}{9 \times 2}=\dfrac{4}{18}$$

and $$\dfrac{5}{6}=\dfrac{5 \times 3}{6 \times 3}=1\dfrac{5}{18}$$

Now adding:

$$\dfrac{2}{9}+\dfrac{5}{6}=\dfrac{4+15}{18}$$

$$=\dfrac{19}{18}$$

$$=1 \dfrac{1}{19}$$