I know this seem simple, but it’s making my brain almost blast. I know it can be

Question

I know this seem simple, but it’s making my brain almost blast. I know it can be shown 3/5 easily if lable, (1/5, 2/5, 3/5, 4/5, 5/5). I feel like it can also be shown as 5/3 but how? Please help me on this. 2) Marvin Mathwhiz and Agnes Algorithm were arguing about which fractions they could see in the picture below. "I see three-fifths" said Marvin. "I see five-thirds" said Agnes. Who is right? Could they both be right? Are they both wrong? Are there any other fractions could be seen in this picture? Explain your answers clearly

Explanation / Answer

Solution-

As it is shown that there is a block that has five parts in which two are black and 3 are white. According to the question, it can be written as 3/5 (that is given) or 2/5(by changing position).

But here we have to prove that 3/5 can be written as 5/3.

Proof-

First of all we will write 5/3 as 1 + 2/3 because we have divide 5 by 2. By this we can get 1 and 2/3.

Now, we take this given block as whole. We assume that this block has 2 parts. First part will have two black parts and second block will have three parts(One black and two white parts).

The block that has two black parts will be considered as one.

The block that three parts can be written as 1/3 or 2/3.

1/3(one black and two white) and 2/3(two white and one black).

So, with our conception we can say that 5/3 = 1 + 2/3 with the same block.

So, we can say that 3/5 can be written as 5/3.

Hence Proved...

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