Question

Look at the figure and compare the fractions.

$\frac{1}{3}$$\square$$\frac{2}{6}$

Answer 1

The given figure contains $10$ rows of equal spaces. Further, the space within a row is divided into as many equal parts as the denominator of the fraction in the row.

Now, the given fractions are $\frac{1}{3}$ and $\frac{2}{6}$. $\frac{1}{3}$ represents one equal part of the row divided into three equal parts. Also $\frac{2}{6}$$=$$2\left(\frac{1}{6}\right)$ represents two parts of the row divided into six equal parts, with each part labeled as $\frac{1}{6}$.

Now, to compare the given fractions from the graph, start a vertical line from one equal part (first part) of the row labeled as $\frac{1}{3}$. The vertical line meets the row labeled as $\frac{1}{6}$ exactly at two equal parts.

From the graph of the vertical line, we conclude that one equal part of $\frac{1}{3}$ is equal to two equal parts of $\frac{1}{6}$.

Therefore, $\frac{1}{3}$$=$$\frac{2}{6}$