Math, asked by harishdhandhukiya308, 9 days ago

Find p/q form of...? ​

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Answers

Answered by tennetiraj86
4

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.
Answered by tammanakanungo
0

Answer:

sorry I don't know the question

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