SOLUTION: Can you please help me answer this question? c) convert 0.346 to a fraction where the 4 and 6 in 0.346 are recurring I have completed the same question for 0.04 where the four i

Question 586172: Can you please help me answer this question?
c) convert 0.346 to a fraction where the 4 and 6 in 0.346 are recurring
I have completed the same question for 0.04 where the four is recurring but the method I used (let x = 0.0444444....; 100x = 4.44444....; 99x=4.4: therefore x = 44/990)does not work for 0.346.

Thankyou very much for your help!!!!''.

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
x = 0.3464646...

100x = 34.6464646...

99x = 34.3

x = 34.3/99

in general, the power of ten used as a multiplier is equal to the number of repeating digits
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