Convert 3.456 where 56 bar into fraction form
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Step-by-step explanation:
Given:-
3.456 where 56 bar
To find:-
Convert 3.456 where 56 bar into fraction form
Solution:-
Given number = 3.456 ,bar on 56
Let X = 3.4565656...------------(1)
Since the periodicity is 2
Multiply (1) with 100 then
=> 100×X = 3.4565656...×100
=> 100X = 345.65656...--------(2)
On subtracting (1) from (2) then
(2)-(1)=>
=> 100X = 345.65656...
X = 3.45656...
(-)
___________________
99X = 342.2
___________________
=> 99X = 342.2
=> 99X = 3422/10
=>99X = 1711/5
=> X = (1711/5)/99
=>X = 1711/(5×99)
=>X = 1711/495
3.4565656...= 1711/495
Answer:-
The fractional form of the given decimal number is 1711/495
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