Question

p/q form 1.54 only 4 is bar

Answer 1

Let x = 1.54
x= 1.54444.........

Here
Period=2
Periodicity=1
So multiply both sides by 10.

10 x = 15.4444444..............
x = 1.5444444..............
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9x. = 3.9000000...........
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9x =3.9
x=39
-----
9

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Answer 2

Let p/q=1.5444........ ... (1)
Multiply equation (1) by 10 we get
10p/q=15.444...... ... (2)
Multiply equation (2) by 10 we get
100p/q=154.444........ ... (3)
Now, subtracting equation (2) from (3), we get
90p/q=139
P/q=139/90