Question

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

• A. $\frac{16}{6}$
• B. $\frac{14}{9}$
• C. $\frac{17}{9}$
• D. $\frac{17}{6}$

Answer 1

The correct option is B $\frac{14}{9}$

Between 1 and 2, the line is divided into 9 parts.
We know, $1=\frac{9}{9}$ and $2=\frac{18}{9}$
Thus, the divisions between 1 and 2 marked in the figure correspond to the fractions $\frac{10}{9},\frac{11}{9},\frac{12}{9},\frac{13}{9},\frac{14}{9},\frac{15}{9},\frac{16}{9},$ and $\frac{17}{9}.$

$\therefore$ The point A corresponds to the fraction $\frac{14}{9}.$