Question

Mohit painted the rectangular wall of his room, as shown in the image. What is the fractional value of the colour that occupies the largest area on the wall?

• A. $\frac{1}{5}$
• B. $\frac{6}{25}$
• C. $\frac{7}{25}$
• D. $\frac{9}{25}$

Answer 1

The correct option is C $\frac{7}{25}$

We know that the formula to calculate fractions is

$\text{Fraction}=\frac{\text{Part of the whole}}{\text{Total number of parts in the whole}}$

The wall can be divided into 25 equal parts as you can see above. The number of parts painted blue, red, green, white and yellow are 3, 4, 5, 6, and 7, respectively.

So, we need to calculate the fractional values of all the colours on the wall and then we need to pick the value that is the greatest among them.

The fraction of blue colour used is
$=\frac{3}{25}$
The fraction of red colour used is
$=\frac{4}{25}$
The fraction of green colour used is
$=\frac{5}{25}=\frac{1}{5}$
The fraction of white colour used is
​​​​​​​$=\frac{6}{25}$
The fraction of yellow colour used is
​​​​​​​$=\frac{7}{25}$

Comparing all the fraction we see that yellow colour occupies the largest area with a fractional value of $\frac{7}{25}.$