Question

express 3.575757 in pand q form

Answer 1

Hey

Let x = 3 .5757...

Multiplying it by 100 ,

100x = 357.5757...

Difference between the equations ,

100x = 357.5757
x = 3.5757...
====== ======
99x = 354

x = 354 / 99 = 118/33

Therefore, 3.5757 = 118/33 .

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Answer 2

let 3.575757=X
3.575757 =X 1eq.
multiply both side by 100
0.37=100X  2 eq
subtract eq.1 from 2
3.575757-0.575757=100x-x
3=99x
99x=3
3/99=x
x=1/33