Express each of the following decimal in the form p q where p and q are integers and q is not equal to zero 0.0032
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0.003232323232...... Is 0.0032 bar
================
Let x = 0.0032 bar [bar on 32 only]
Multiply by 100 on both sides,
100 × x = 100 × 0.0032 bar
=> 100x = 0.32 bar
As there are 2 numbers under bar, multiply by 100 on both sides
=> 100 × 100x = 100× 0.32 bar
=> 10000x = 32.32 bar
Subtract 100x from both sides,
10000x = 32.32 bar
-100x = -0.32 bar
________________
9900 x = 32 [bar cancel]
_____________
x = 32/9900
Then,
0.003232323232..... In p/q form is 32/9900
I hope this will help you
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