Express 3.425 in the form of p/q where 25 is repeated
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Let the given number be x
x = 3.4252525.. -- Equation 1
As the periodicity ( the number of digits repeated ) of the given number is 2,
Multiply the number with 10 raised to the power of 2 or 100
Then you get,
100x = 342.52525.. -- Equation 2
Now solve both the equations
Equation 2 - Equation 1
100x = 342.52525..
- x = 3.42525..
--------------------------------
99x = 339.1
x = 339.1/99
x = 3391/990
x = 3.4252525.. -- Equation 1
As the periodicity ( the number of digits repeated ) of the given number is 2,
Multiply the number with 10 raised to the power of 2 or 100
Then you get,
100x = 342.52525.. -- Equation 2
Now solve both the equations
Equation 2 - Equation 1
100x = 342.52525..
- x = 3.42525..
--------------------------------
99x = 339.1
x = 339.1/99
x = 3391/990
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