Question

In which of the following number lines does the fraction of colored parts represents $\frac{1}{3}$?

• A. Number line $III$
• B. Number lines $I$ and $III$
• C. Number line $I$
• D. Number line $II$

Answer 1

The correct option is D Number line $II$

S.No	Number line	Fraction
$I$		Number of colored parts $=2$ Total number of parts $=3$ $\frac{\text{Number of colored parts}}{\text{Total number of parts}}=\frac{2}{3}$
$II$		Number of colored parts $=1$ Total number of parts $=3$ $\frac{\text{Number of colored parts}}{\text{Total number of parts}}=\frac{1}{3}$
$III$		Number of colored parts $=3$ Total number of parts $=3$ $\frac{\text{Number of colored parts}}{\text{Total number of parts}}=\frac{3}{3}$

So, the fraction of colored parts represents $\frac{1}{3}$ in the second number line.