Express 0.717171.... decimals in the form p/q, where p and q are integers
and q ≠ 0.
Answers
Answered by
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Step-by-step explanation:
Given:-
0.717171...
To find:-
Express 0.717171.... decimals in the form
p/q, where p and q are integers and
q ≠ 0.
Solution:-
Given number = 0.717171....
Let X = 0.717171....--------------(1)
Since ,the periodicity is 2 then multiply (1) with 100
=> 100×X = 0.717171...×100
=> 100X = 71.717171... --------(2)
On Subtracting (1) from (2) then
100X = 71.717171...
X = 0.717171...
(-)
________________
99X = 71.000000...
_________________
=> 99X = 71
=> X = 71/99
0.717171... = 71/99
Answer:-
The p/q form of the given number 0.717171... is 71/99
Used formula:-
Periodicity:-
The number of digits in the recurring part of the decimal number is called its periodicity.
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