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I am stuck with a question $$\left(\frac15\right)\div\left(\frac15\right)\div\left(\frac15\right)\div\left(\frac15\right)$$ We can have different approach to this problem but how are we gonna apply BODMAS here.

Blue
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Shiv
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    Division is not associative, so this expression is ambiguous. – Dave May 06 '21 at 04:28
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    All these BODMAS/ PEMDAS things are nonsense. – Matha Mota May 06 '21 at 04:29
  • @BokaPeer What? –  May 06 '21 at 04:38
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    Read the first comment. Students memorize this BODMAS/ PEMDAS thing. They are not taught the "right" concept: we cannot "combine" more things together. What I mean parenthesis matters. At the very end, probably someone can be taught this nmemonic. – Matha Mota May 06 '21 at 04:45
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    @Dave: It is not ambiguous at all. Subtraction is also non-associative, but I think you will agree that $6-3-7-1$ is unambiguously equal to $-5$. And division is left-to-right associative by convention, just like subtraction. – TonyK May 06 '21 at 10:02

2 Answers2

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Because there is only one operator (divide), you would simply divide left to right.

bill_lee
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We will take from left torright.

$$\left(\frac15\right)\div\left(\frac15\right)$$

$$ =>1 $$

Now go towards right side

$$ \frac{1}{1} \div \frac{1}{5} $$

So now it is reduced to $5$.

So now finally it will become

$$ 5 \div \frac{1}{5}$$

Your final answer will come $25$.