Question

What fraction is represented by all of these figures?

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

Answer 1

Answer: (A)

In the given first object, there are a total of $2$ rectangles and $1$ rectangle is shaded amongst them. Therefore, the ratio of shaded rectangles to the total number of rectangles is:

$\frac{Shaded}{Total}=\frac{1}{2}$

Now, consider the second object, there are a total of $4$ squares and $2$ squares are shaded amongst them. Therefore, the ratio of shaded squares to the total number of squares is:

$\frac{Shaded}{Total}=\frac{2}{4}=\frac{1}{2}$

Now, in the third object, there are a total of $6$ rectangles and $3$ rectangles are shaded amongst them. Therefore, the ratio of shaded rectangles to the total number of rectangles is:

$\frac{Shaded}{Total}=\frac{3}{6}=\frac{1}{2}$

Since the fraction of all of the three given objects is same that is $\frac{1}{2}$.

Hence, the fraction $\frac{1}{2}$ represented by all of the given figures.