Find the distance between the points $2\frac{1}{2}$ and $5\frac{1}{4}$ on the number line.

Here $5\frac{1}{4}>2\frac{1}{2}$

$\Rightarrow 5\frac{1}{4}$ lies to the right of $2\frac{1}{2}$
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$\Rightarrow$ Distance $=5\frac{1}{4}-2\frac{1}{2}$

$=\frac{21}{4}-\frac{5}{2}$

$=\frac{21}{4}-\frac{10}{4}$

$=\frac{11}{4}$

$=2\frac{3}{4}$

Thus, the distance between the given points is $2\frac{3}{4}$ units.
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