Question

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

• A. $2\frac{3}{4}$ units
• B. $\frac{10}{4}$ units
• C. $\frac{13}{4}$ units
• D. $\frac{9}{4}$ units

Answer 1

The correct option is A

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

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

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

$\Rightarrow$ Distance $=5\frac{1}{4}-2\frac{1}{2}$

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

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

$=\frac{1}{4}$

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