Question

The value of the following expression (using area model) is .

• A. $\frac{1}{21}$
• B. $\frac{1}{3}$
• C. $\frac{1}{7}$

Answer 1

The correct option is A $\frac{1}{21}$

The given expression is $\frac{1}{7}$ $÷$ 3.

Here, the shaded part is equivalent to $\frac{1}{7}$.

It should again be divided into 3 equal parts as shown below.
Here, in total, there are 21 equal parts of the rectangle. So, one small part is 1/21 part of the rectangle.


Hence, $\frac{1}{7}$ $÷$ 3 = $\frac{1}{21}$