1) one is kinda easy..... just start dividing and find a pattern. I found the pattern 0.370 repeating, and so your answer for 1 would be 0.3703703703
2)So I started manually dividing and after 6 digits, I stopped... I want to show it here but have no idea how... :( but your answer is 923076
3)to convert 0.045 repeating 5 to fraction form, just do this:
1000x=45.55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555
- x=0.045555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555
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subtract and get 999x=45.1
x=451/9990
x=41/90
4) \(6032_8\) to decimal?! argh! ok, so start by doing (6*6^3)+(0*6^2)+(3*6^1)+(2*6^0)=1407.... and 1407 is 6032_8 in base 10.... in other words, decimal.
5)\(999__16\)ok I cant get the base thing to work in latex... so deal with this.
(9*16^2)+(9*16)+9=2457 in decimal..
6)35/2=17r1
17/2=8r1
8/2=4r0
4/2=2r0
2/2=1r0
1/2=0r1
so i think 35 in base 2 is 100011
7)10101101...