Question

express in p/q form 23.723(bar on 23)

Answer 1

SOLUTIONS:

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GIVEN:23.723

Let X be =23.7232323....

Step1:Since the 7 has no bar,so transfer to right hand side.

To do this Multiply it by 10 since 7 is in

ten place.

step2:Multiplying both sides of equations by 10 we got.

10X=237.232323.....(1)

Step3:Now again transfer the no's.23 to left side again.

For transferring this we need to Multiply

both sides by 100

100×10X=23723.232323...(2)

1000X=23723.232323......

Step4: Substract equations (1) from (2)

23723.232323....

- 237.232323...

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23486.000

1000X-10X=23486

990X=23486

X=23486÷990

X=11743/495

So,p/q form is 11743/495