Exact value of 3.789789789789789789789........ is

M4maths Previous Puzzles

24 Nov 2009 Find the exact value Exact value of 3.789789789789789789789........ is: OPtion
1) 1261/332
2) 1262001/333000
3) 126201/33301
4) 12619701/3330000
5) 12619967/3330000
6) 1262/333
7) 12610/3329
8) 12630/3335
9) 125874/33300
10) 1261404/333000; Correct Option: 6 Best Solution (5)

Tijo Jose 15 years AGO

Let x = 3.789789789789789789789789789...
1000x = 3789.789789789789789789789789...

Subtracting first eqn from second, 999x = 3786
So, x = 3786/999
Simplifying we get x = 1262/333

Like? Yes (1) | No

sujit 15 years AGO

let x=3.789789
1000x=3789.789
999x=3786
x=3786/999 = 1262/333

Like? Yes (1) | No

rajendra 15 years AGO

let x=3.789789
1000x=3789.789
999x=3786
x = 1262/333

Like? Yes (1) | No

Dr.Dipin Singh 15 years AGO

let x = 3.789789789789789789789…………… ( 1)
then 1000x= 3789.789789789789789789……………( 2)
subtracting (1) from (2)

we get, 999 x= 3786
x= 3786/999= 1262/333 .. option 6.

Like? Yes (1) | No

SURAJ 15 years AGO

let x = 3.789789...
1000x = 3789.789789....
1000x - x = 3789.789789... - 3.789789...
=> 999x = 3786
=> x = 3786 / 999
=> x = 1262 / 333 = 3.789789...

Like? Yes (1) | No

Dimple

India

Punjab

Time: 00:01:33

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Exact value of 3.789789789789789789789........ is

M4maths Previous Puzzles

24 Nov 2009 Find the exact value