Question

Fill in the boxes:

$\frac{1}{3}+\frac{\boxed{}}{6}=\frac{7}{6}$

Answer 1

First take $\mathrm{x}$ at the place of the box.

Now convert the given fractions on LHS into equivalent fractions.

To convert them into equivalent fractions, take LCM of the denominators.

LCM of $3$ and $6$ is $6$.

$$\begin{gathered} \Rightarrow \frac{1\times 2}{3\times 2}+\frac{\mathrm{x}\times 1}{6\times 1}=\frac{7}{6} \\ \Rightarrow \frac{2}{6}+\frac{\mathrm{x}}{6}=\frac{7}{6} \\ \Rightarrow \frac{2+\mathrm{x}}{6}=\frac{7}{6} \end{gathered}$$

$$\begin{gathered} \Rightarrow 2+\mathrm{x}=7 \\ \Rightarrow \mathrm{x}=7-2 \\ \Rightarrow \mathrm{x}=5 \end{gathered}$$

Hence, $\frac{1}{3}+\frac{\boxed{5}}{6}=\frac{7}{6}$.