Question

Can we say that following figures represent equal fractions?

• A. Yes, 1st and 2nd figure show equal parts.
• B. Yes, all the figures show equal parts.
• C. Yes, 2nd and 3rd figure show equal parts.
• D. No

Answer 1

Answer: (B)

Yes, all the figures show equal parts.

In the given first object, there are a total of $4$ triangles and $1$ triangle is shaded amongst them. Therefore, the ratio of the shaded triangle to the total number of triangles is:

$\frac{Shaded}{Total}=\frac{1}{4}$

Now, consider the second circular object, there are a total of $4$ parts and $1$ part is shaded amongst them. Therefore, the ratio of shaded part to the total number of parts is:

$\frac{Shaded}{Total}=\frac{1}{4}$

Now, in the third object, there are a total of $4$ rectangles and $1$ rectangle is shaded amongst them. Therefore, the ratio of the shaded rectangleto the total number of rectanglesis:

$\frac{Shaded}{Total}=\frac{1}{4}$

Since the fraction of all of the objects is the same that is $\frac{1}{4}$.

Hence, all the given figures show equal parts.