Question

Aman is situated at a point $A$on the number line which represents the location$1\frac{4}{5}$. He moves $3\frac{1}{7}$units towards the left on a number line. What will be his final location on a number line?

Answer 1

Given, the Point $A$$=1\frac{4}{5}=\frac{9}{5}$

units that he moves toward left$=3\frac{1}{7}=\frac{22}{7}$

We have to find his final location.

Since he moves towards the left on a number line.

Thus, his final location$=\frac{9}{5}-\frac{22}{7}$

$$\begin{gathered} =\frac{9\times 7}{5\times 7}-\frac{22\times 5}{7\times 5}\left\{LCM\right(5,7)=35\} \\ =\frac{63}{35}-\frac{110}{35} \\ =\frac{63-110}{35} \\ =\frac{-47}{35} \\ =-1\frac{12}{35} \end{gathered}$$

Hence, His final location on the number line is $-1\frac{12}{35}$.