Question

Which of the following options represents point B on the number line?

• A. <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $3\frac{1}{8}$
• B. $4\frac{1}{8}$
• C. $\frac{26}{7}$
• D. $\frac{24}{7}$

Answer 1

The correct option is C $\frac{26}{7}$

From the numberline given it is clear that there are 7 divisions between 3 and 4 and B lies in between 3 and 4.

Value of one division is <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{4-3}{7}$ = $\frac{1}{7}$

Now, B lies at the <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $5^{th}$ division starting from 3.

So, the value of B = $3\frac{5}{7}$.
Now, we need to convert this result obtained into improper fraction.
So, $3\frac{5}{7}$ = $\frac{26}{7}$
Hence, option c is the correct answer.