Question

If 0.621 bar on 621,where p and q are coprimes,find p-q

Answer 1

Answer:

Heya !!

Let X = 0.621 ( bar on 621 )

Then, X = 0.621621 ---------(1)

Multiply equation (1) by 1000 , We get

1000X = 621.621621 ----------(2)

Subtracting equation (1) from equation (2) , we get

1000X = 621.621621

X = 0.621621

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999X = 621

X = 621/999 = 23/37 [ P/Q form ]

Hence,

0.621 ( bar on 621 ) is of the form 23/37 which is in the form of p/q.