Math, asked by trisha10433, 1 year ago

express in the p/q form

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Answered by abhay022
10
Hey friend
Let a = 0.621621621 ....(1)
1000a = 621.621621 ....(2)

Equation (2) - equation (1)

999a = 621
a = 621/999 = 23/37

siddhartharao77: Cancel the common factor: 27.
sweety380: Trish a shall I tell u short form
abhay022: u should learn divisibility rules of 2 to 9 ... which will improve your calculation. now comes to your point .. 621/999 is the numher... just start from 2 to devide both number .. both are odd nunber so 2 will not work for us .. niw we check it by 3 .. and it devide both .. we get 207 / 333 .. again we try it by 3 .. and we get 69/111 qgain we try it by 3 .. we get 23/37
abhay022: good .. point is just check divisibility 1 by 1 ..
sweety380: subtract barbefore numbers from bar numbers in numerator in denominator how many bar number are there that many nines and without bar number 0
sweety380: if u don't understand ask me
Answered by siddhartharao77
4
Let X = 0.621621.   -------- (1)

Multiply the Equation (1) with 1000

1000x = 1000 * (0.621621..)

1000x = 621.621...    ------------ (2) 


On Subtracting (2) from (1), we get

1000x - x = 621.621 - 0.621621

999x = 621

x =621/999

 x = \frac{23 * 27}{37 * 27}

x = 23/37.


Thus, 0.621(bar) = 23/37.


Hope this helps!
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