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recurring decimals (1 Viewer)

the dr is in

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I am looking for some practice questions for converting recurring decimals to fractions. Where could I find some.

thanks
Kane
 

Timothy.Siu

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u can just make them up
i'll do some if u want
1. convert 0.111111..... to a fraction
2.convert 0.413413413413.... to a fraction
3. concert 0.216161616..... to a fraction
 

vds700

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Last edited:

ratcher0071

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Timothy.Siu said:
u can just make them up
i'll do some if u want
1. convert 0.111111..... to a fraction
2.convert 0.413413413413.... to a fraction
3. concert 0.216161616..... to a fraction
1) 1/9

2) let x=0.413413413...
1000x=413.413413...
x=0.413413413...
1000x-x=999x
999x=413
x=413/999

3) let x=0.2161616...
1000x=216.161616...
10x=2.161616...
1000x-10x=990x
990x=214
x=214/990
x=107/495

I just felt like answering them :)
 

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