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

Solution

The correct option is C 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:$$\dfrac {Shaded}{Total}=\dfrac { 1 }{ 4 }$$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:$$\dfrac {Shaded}{Total}=\dfrac {1 }{ 4 }$$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 rectangle to the total number of rectangles is:$$\dfrac {Shaded}{Total}=\dfrac { 1 }{ 4 }$$Since the fraction of all of the objects is the same that is $$\dfrac {1}{4}$$.Hence, all the given figures show equal parts.Mathematics

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