Question

express 43.12(bar on 12) in p/q form

Answer 1

Answer:

Let x=43.121212........(1)

Multiplying both sides of (1) by 100

100*x = 100*43.121212.....

=> 100x=4312.121212.....(2)

Subtracting (1) from (2):

100x-x=4312.121212... - 43.1212..

=> 99x = 4269

=> x = 4269/99

=> 43.121212.. = 4269/99

Answer 2

let x be 43.12(bar)

Therefore, x=43.12 (bar)...............(1)

multiplying 100 on both sides of equation (1)

we get ,

100x= 4312.12(bar).............(i)

Now,(i) - (1)

so,. 100x= 4312.12121212......

-. x = 43.12121212...

----------------------------------------

99x = 4269.00

Therefore,

$x = \frac{4269}{99}$

$x = \frac{1423}{33}$

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