Question

show that 0.23535..... can be expressed in the form of p/q where p and q are integer and q is not equal to 0

Answer 1

Heya,
here is your answer

let x = 0.235353535.....

10 × x = 10 × 0.235353535....
=> 10x = 2.35353535.......

100 × x = 100 × 0.235353535........
=> 100x = 23.535353535.......

1000 × x = 1000 × 0.235353535........
=> 1000x = 235.3535353535.......


if we will subtract 10x from 1000x

1000x - 10x = 235.353535.... - 2.353535.....
=> 990x = 233
=> x = 233/990

Hence 0.235353535....... in the form of p/q is 233/990


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Answer 2

Answer:

Hope it helped u........