Problem

$15.7\bar{12} $

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Solution

Qanda teacher - mohd kazim

Let x = 15.712 [ 12 bar ]
x = 15.712121212.............
multiply with 10 both sides ,
10x = 157.1212121212..............------(1)
again,
multiply with 1000 both sides ,
1000x = 15712.1212121212...........------(2)
subtract equation (2) - (1)
1000x - 10x = 15712.121212.... - 157.121212....
990x = ( 15712 - 157) = 15555
x = 15555/990
hence, 15555/990 in the form of P/Q of 15.712[ 12 bar

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