express 0.00323232...... in the form of p/q ,where p and q are integers and q is not equal to 0
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0.00323232 can be written as 323232/100000000 which is in the form p/q
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Arivu:
This method is the simplest method
Answered by
37
let x = 0.003232....
Multiplying 100 on both sides,
100x = 0.323232... (eq.1)
10000x = 32.323232.... (eq.2)
Subtracting equation 1 from 2
10000x - 100x = 32.3232.. - 0.3232...
9900x = 32
x = 32/9900
p/q = 32/9900
Multiplying 100 on both sides,
100x = 0.323232... (eq.1)
10000x = 32.323232.... (eq.2)
Subtracting equation 1 from 2
10000x - 100x = 32.3232.. - 0.3232...
9900x = 32
x = 32/9900
p/q = 32/9900
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