Question

. Express 4.127127127 ... in the form, where p and q are integers and q is not
equal to 0.​

Answer 1

Step-by-step explanation:

Let x = 4 .127 127 127...... ( 1)

Multiplying both sides by 1000 we get,

1000 x = 4127.127 127 127..... (2 )

(2) - ( 1) gives

1000 x = 4127. 127 127 127.......

(-) x = 4 . 127 127 127....

_____________________

999 x = 4123. 000 000 000....

or, x = 4123 / 999 ANS

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Answer 2

Answer:

Hello,

Good Morning....

The answer is given below.....

Step-by-step explanation:

Let x = 4.127127....

Since the repeating block of digits are three, (i.e), 1, 2, and 7, we multiply x by 1000.

Therefore, 1000x = 4127.127127....

Subtracting x from 1000x, we get,

1000x = 4127.127127.... - x = 4.127127.... which results in -

999x = 4123.00000.....

999x = 4123

Therefore, x = 4123/999

And Voila! You got your answer..

HOPE THIS HELPS...

Have a great Day....