Question

What is the difference between the longest and the shortest caterpillar?

• A. $\frac{2}{4}\text{inches}$
• B. $0\text{inches}$
• C. $\frac{1}{4}\text{inches}$
• D. $\frac{3}{4}\text{inches}$

Answer 1

The correct option is A $\frac{2}{4}\text{inches}$

Let's convert the fractions in the given table into equivalent fraction with denominator 4.

$\frac{1}{2}$ $\text{=}\frac{1}{2}\times \frac{2}{2}\text{=}\frac{2}{4}$

The new line plot will be:


When the denominators are the same, the fraction with the lesser numerator is the lesser fraction and the fraction with the greater numerator is the greater fraction.

$\text{From the table, we can say that,}$
$\text{Length of the longest caterpillar =}\frac{3}{4}\text{inches}$

$\text{Length of the shortest caterpillar =}\frac{1}{4}\text{inches}$

$\text{Let's find the difference between the}$ $\text{longest and the shortest caterpillar:}$

$⟹\frac{3}{4}-\frac{1}{4}\text{=}\frac{3-1}{4}\text{=}\frac{2}{4}\text{inches}$


$\therefore \text{The difference between the longest}$ $\text{and the shortest caterpillar is}\frac{2}{4}\text{inches.}$