Question

In the given number line, what is the fraction that point A denotes?

• A. $\frac{16}{6}$
• B. $\frac{18}{6}$
• C. $\frac{16}{7}$
• D. $\frac{18}{7}$

Answer 1

The correct option is D

$\frac{18}{7}$

Between 2 and 3, the line is divided into 7 parts.
We know, $2=\frac{14}{7}$ and $3=\frac{21}{7}.$
Thus, the divisions between 2 and 3 marked in the figure correspond to the fractions $\frac{15}{7},\frac{16}{7},\frac{17}{7},\frac{18}{7},\frac{19}{7}$ and $\frac{20}{7}.$

$\therefore$ The point A corresponds to the fraction $\frac{18}{7}.$