Question

Identify the figure in which portion is shaded. In those figures, color the remaining portion red.
a)

b)

c)

d)

e)

Answer 1

Hint:Before solving this question, we must know about Fractions.
FRACTIONS: A fraction simply tells us how many parts of a whole we have. A fraction has 2 parts: numerator and denominator.
The denominator tells us about the number of parts in which a whole is divided.
The numerator tells us about the number of parts we have.
The numerator tells us about the number of parts we have.
For example:-

This square is divided into four parts. So, four will be the denominator.
We can see that the number of parts that are shaded in this square is 3. So, 3 will be the numerator.
This fraction will be written as

and pronounced as ‘3 upon 4’.

Complete step-by-step answer:

We can see that the number of parts in which the above circle is divided is 8. And, the number of parts that are shaded is 2.
So, the fraction of this circle that is shaded is \[\dfrac{2}{8}\] .
Let us simplify this fraction now.
After simplification, we get \[\dfrac{1}{4}\] .
So, as 1/4 portion of this figure is shaded, this is a correct option.

 

We can see that the number of parts in which the above rectangle is divided is 8. And, the number of parts that are shaded is 2.
So, the fraction of this rectangle that is shaded is \[\dfrac{2}{8}\] .
Let us simplify this fraction now.
After simplification, we get \[\dfrac{1}{4}\] .
So, as 1/4 portion of this figure is shaded, this is also a correct option.

We can see that the number of parts in which the above triangle is divided is 8. And, the number of parts that are shaded is 3.
So, the fraction of this rectangle that is shaded is \[\dfrac{3}{8}\] .
So, as \[\dfrac{3}{8}\] portion of this figure is shaded, this is an incorrect option.

We can see that the number of parts in which the above rectangle is divided is 8. And, the number of parts that are shaded is 1.
So, the fraction of this rectangle that is shaded is \[\dfrac{1}{8}\].
So, as \[\dfrac{1}{8}\] portion of this figure is shaded, this is an incorrect option.

We can see that the number of parts in which the above figure is divided is 8. And, the number of parts that are shaded is 2.
So, the fraction of this figure that is shaded is \[\dfrac{2}{8}\] .
Let us simplify this fraction now.
After simplification, we get \[\dfrac{1}{4}\] .
So, as 1/4 portion of this figure is shaded, this is also a correct option.

Therefore, the figures in which the\[\dfrac{1}{4}\] portion is shaded are (a), (b) and (e).
Note:Say, \[\dfrac{3}{4}\] . We can also say it as ‘three by four’.One must do all the calculations in this question very carefully.Also not only in this question, the students must be very careful while solving any such questions as if there is any mistake in the calculations, then the answer can come out to be wrong.