Question

The distance between the points $4\frac{1}{2}$ and $3\frac{1}{4}$ on the number line is

• A. $1\frac{1}{4}$ units
• B. $2\frac{1}{4}$ units
• C. $1\frac{1}{2}$ units
• D. $2\frac{1}{3}$ units

Answer 1

The correct option is A

$1\frac{1}{4}$ units

Here $4\frac{1}{2}>3\frac{1}{4}$

$\Rightarrow 4\frac{1}{2}$ lies toward the right of $3\frac{1}{4}$

$\Rightarrow$ Distance $=4\frac{1}{2}-3\frac{1}{4}$

$=\frac{9}{2}-\frac{13}{4}$

$=\frac{18}{4}-\frac{13}{4}$

$=\frac{5}{4}$

$=1\frac{1}{4}\text{units}$