Represent 1.2353535 in p/q form

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Solution

Yes you can express 1.2353535...... in p/q form-

let 1.23535... be 'x'

therefore, 100x=123.53535....

Subtract both- 100x=123.53535.... x= 1.23535.....

99x=122.3

thereforex=122.3/99 or, 1223/990

therefore 1.23535 in the form of p/q=1223/990

you can check the answer by dividing 1223 by 990

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