Question

Select the fraction, which represents the coloured portion of the given figure.

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

Answer 1

The correct option is C

$\frac{1}{4}$

Let's draw some more lines on the image given to us so that the image can be divided into equal parts.
As you can see that the image of this square is divided into four equal squares. This means that the total number of parts we have is 4 and the total number of parts coloured is 1.

Now, we know fraction can be written mathematically as:

$Fraction=\frac{Colouredparts}{Totalnumberofparts}$

Now, if we place the value of coloured parts as 1 and total number of parts as 4, we will get the value of our fraction.

$Fraction=\frac{Colouredportion}{Totalportion}Fraction=\frac{1}{4}$

Hence coloured portion is a quarter of the whole square or $\frac{1}{4}$.