Express the number as a ratio of integers.

hi im having trouble with this question:
Q:Express the number as a ratio of integers. 9.4(78)bar so 9.4787878787878787878

what is confusing me is the 9.4, and where i should start the series at 78/10^(?)

please if someone could help me.

ty
 

StatusX

Homework Helper
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Try multiplying it by 99. Specifically, multiply it by 100 and then subtract the original number. The repeating part should go away.
 
yea i think i got it
9.4+(78/10^3)+(78/10^5)
so according to the geo series a=(78/10^3) and r=(1/10^2)
it should be (94/10)+(13/165)
 

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