Question

convert 3.2015 [bar on 15] in p/q form

Answer 1

2113/660

let x be 3.20151515....

so, 100x = 320.151515.... (i)

and 10000x = 32015.151515... (ii)

By subtracting eq(i) from eq(ii), we get

10000x - 100x = (32015.1515..) - (320.1515..)

=> 9900x = 31695

=> x = 31695/9900

=> × = 2113/660

therefore,

p/q form of 3.201515.. = 2113/660

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