Answer:
Option 2.
Step-by-step explanation:
The given expression is
[tex]\frac{1}{4}\times \frac{3}{4}[/tex]
We need to represent the given expression using circle.
[tex]\frac{1}{4}\times \frac{3}{4}=\frac{1\times 3}{4\times 4}=\frac{3}{16}[/tex]
It means, if a circle is divided into 16 equal parts, then 3 out of 16 are shaded.
[tex]\frac{3}{4}[/tex] = 3 parts out of 4.
[tex]\frac{1}{4}[/tex] = 1 part out of 4.
[tex]\frac{1}{4}\times \frac{3}{4}[/tex] = [tex]\frac{1}{4}[/tex]th part of [tex]\frac{3}{4}[/tex]th part of circle.
Only option 2 represents the correct value of given expression.
Therefore the correct option is 2.
