Math, asked by greattask6045, 11 months ago

Express 0.2353535...... in p/q form

Answers

Answered by Dheerajnaik46257
7

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

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

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