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Question

Can we say that following figures represent equal fractions? 
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A
Yes, 1st and 2nd figure show equal parts.
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B
Yes, all the figures show equal parts.
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C
Yes, 2nd and 3rd figure show equal parts.
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D
No
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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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