Question

show that 0.2353535 can be expressed in the form p÷q where p and q are integer and q

Answer 1

Let x = 0.235353535.... .... (i)
Multiply both side by 100
100 × x = 100 × 0.2353535... ... (ii)
100x = 23.535353..
Subtract i from ii
100x = 23.535353...
- x = 0.235353535....
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99x = 23. 30000000
x = 23.3/99
x = 233/ 99