Question

The distance between $\frac{6}{5}$ and $-\frac{5}{2}$ on the number line is units.

• A. $3\frac{7}{10}$
• B. $3\frac{3}{10}$
• C. $7\frac{3}{10}$

Answer 1

The correct option is A $3\frac{7}{10}$

$-\frac{5}{2}$ < $\frac{6}{5}$
So, $\frac{6}{5}$ lies to the right of $-\frac{5}{2}$ on the number line.
Distance = $\frac{6}{5}-(-\frac{5}{2})$
Distance = $\frac{6}{5}+\frac{5}{2}$
Distance = $\frac{12+25}{10}$
Distance = $\frac{37}{10}$
Distance = $3\frac{7}{10}$ units