Question

Write 2.34(bar on 4) into p/q form. class 9​

Answer 1

Let x = 2.3444444444...........
Multiplying both sides by 10
10x = 23.4444444444 --- a
Multiplying both sides by 10 again
100x = 234.44444444444 --- b
Subtracting A from B
100x-10x = 234.4444-23.44444
90x = 211
x = 211/90
So 211/90 is the answer

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Answer 2

$<i><font face=Times New Roman size=4>$ Solution :

Let x = 2.3444 ... ——— (i)

So, 10x = 2.3444 ... ——— (ii)

Now (ii) - (i), we get

10x - x = 2.3444 ... - 2.3444 ...

=> 9x = 1

=> x = 1/9

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