express the following in the form of p by Q question number is 15.712121 12
Answers
Answer:
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 ]
Step-by-step explanation:
Let x=15.712121212.......
Now 10x=157.712121212......--------------(1)
( By putting 7 on the left side of the decimal however it is only one digit therefore it will become 10x)
Now by putting 712 on the left side of the decimal
it will become 1000x
Therefore,
1000x=15712.712121212.....----------------(2)
Now by subtracting (2) from (1)
We get,
1000x=15712.712121212...........
- 10x= 157.712121212..........
----------------------------------------
990x=15555.0000000........
x=15555/990
x=197/66. (By doing reduce form)