In the given number line, what is the fraction that point A denotes? Options: A . &nbsp166 B . &nbsp186 C . &nbsp167 D . &nbsp187

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

Question

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

Options:

A . 166

B . 186

C . 167

D . 187

Answer: Option D
:
D
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} .

∴

The point A corresponds to the fraction

\frac{18}{7} .

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