Question

Express 2.41 7878 is repeating in the form of p upon q

Answer 1

2.417878/877 is the answer

Answer 2

$\textbf{Answer :}$

Let, x = 2.41787878...

Now, 100x = 241.787878...

and 10000x = 24178.787878...

So, 10000x - 100x = 24178.787878... - 241.787878...

→ 9900x = 23937

→ x = 23937/9900

∴ 2.417878... = 23937/9900 [in p/q form]

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