Find p/q form of...?
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Step-by-step explanation:
Given :-
0.413 (bar on 413)
To find :-
Find p/q form og the given number ?
Solution:-
Given number = 0.413 (bar on 413)
Let X = 0.413 (bar on 413)
=> X = 0.413413413...----------(1)
Since , the periodicity is 3 then multiply equation (1) with 3 then
=> 1000×X = 0.413413413...×1000
=> 1000X = 413.413413413...-----(2)
On Subtracting (1) from (2) then
1000X = 413.413413413...
X = 0.413413413...
(-)
_____________________
999X = 413.000000000...
_____________________
=> 999X = 413
=> X = 413/999
Therefore,0.413 (bar on 413) = 413/999
Answer:-
The p/q form of the given decimal number is 413/999
Used formulae:-
- If the periodicity is 3 then we have to multiply the decimal number with 1000
Points to know:-
- The number of digits in a non terminating recurring decimal number after the decimal is called the periodicity.
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sorry I don't know the question
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