Question

Simplify:

$\frac{1}{7}-\frac{3}{14}+\frac{5}{7}$

Answer 1

According to the question,

⇒ $\frac{1}{7}-\frac{3}{14}+\frac{5}{7}$

LCM of 7 and 14 is "$14$"

$$\begin{gathered} \Rightarrow \frac{1\times 2}{7\times 2}-\frac{3}{14}+\frac{5\times 2}{7\times 2} \\ \Rightarrow \frac{2}{14}-\frac{3}{14}+\frac{10}{14} \\ \Rightarrow \frac{2-3+10}{14} \\ \Rightarrow \frac{2+10-3}{14} \\ \Rightarrow \frac{12-3}{14} \\ \Rightarrow \frac{9}{14} \end{gathered}$$

Hence, the value of $\frac{1}{7}-\frac{3}{14}+\frac{5}{7}$ is $\frac{9}{14}.$