Question

What fraction does the shaded part represent?

A. ${\displaystyle \frac{3}{5}}$
B. ${\displaystyle \frac{2}{5}}$
C. ${\displaystyle \frac{3}{10}}$
D. ${\displaystyle \frac{2}{10}}$

Answer 1

Hint:As everything is equally divided, we can say that the fraction of shaded region is equal to the number of shaded parts divided by the number of total parts that are present in the diagram.

Complete step-by-step answer:
Let us draw the diagram firstly,

Now we can go on explanation.
In the given diagram, we can clearly see the outer rectangle.
This rectangle is subdivided into ten equal parts.
Here by the term equal parts mean that the area of each part is the same.
So, we can say that the fraction of each part is the one divide by the total number of parts.
Hence,
The fraction of one single part $={\displaystyle \frac{1}{10}}$
Up to now everything is clear. Now look at the number of shaded parts in the diagram.
The number of shaded parts in the diagram $=3$
In order to get the fraction of all the shaded parts,
Let us multiplate the fraction of a single part with the number of shaded parts.
The fraction of shaded region $=3\times {\displaystyle \frac{1}{10}}$
          $={\displaystyle \frac{3}{10}}$
So, we got the solution for the fraction of the shaded part as ${\displaystyle \frac{3}{10}}$.

So, the correct answer is “Option C”.

Note:These kinds of problems are very simple. But remember one thing that sometimes the parts in the diagram will be not equally divided. In that case you need to find out the proportions in which they are divided and then after only you can say that the fraction of shaded region is equal to the number of shaded parts divided by the total number of parts. And that too, you should make sure that all the parts are of equal size and shape.