Question

The distance between two points $\frac{-1}{2}$ and $\frac{2}{3}$ on the number line is:

• A. $3\frac{1}{2}$ units
• B. $2\frac{1}{3}$ units
• C. $2\frac{1}{6}$ units
• D. $1\frac{1}{6}$ units

Answer 1

The correct option is D $1\frac{1}{6}$ units

Here $\frac{2}{3}>\frac{-1}{2}$

$\Rightarrow \frac{2}{3}$ lies to the right of $\frac{-1}{2}$ on the number line.

$\Rightarrow$ Distance $=\frac{2}{3}-(-\frac{1}{2})$

$=\frac{2}{3}+\frac{1}{2}$

$=\frac{4}{6}+\frac{3}{6}$

$=\frac{7}{6}$

$=1\frac{1}{6}$ units.