anonymous
  • anonymous
Write the following rational numbers as ratios of integers. -5.0828282 and 7.421421421
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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amistre64
  • amistre64
the .421 is 421/999
anonymous
  • anonymous
Isn't there more to it or is that just the first step?
amistre64
  • amistre64
1000(-5.08282...) = -5082.8282... - 10(-5.08282...) = -50.8282... ------------------------------ 1090=-5082-50 then divide of the left side

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More answers

amistre64
  • amistre64
990, forgot how to subtract
amistre64
  • amistre64
this is a simple way to do it without having to resot to mathematical induction
amistre64
  • amistre64
spose you get: .abcabcabc then there are 3 numbers repeating; put the repeaters over 3 9s abc/999
anonymous
  • anonymous
wait where is 990 supposed to go? And what is final answer to -5.08282?
amistre64
  • amistre64
rename: A=-5.08282... 1000 A = -5082.8282... - 10 A = -50.8282... ------------------------------ 990 A= -5082-50 A= -5132/990
amistre64
  • amistre64
so A = A -5.08282.... = -5132/990
amistre64
  • amistre64
reduce as needed
anonymous
  • anonymous
alright i will reduce and thanks... what about the other problem or was that the final answer at the top?
amistre64
  • amistre64
the final answer up top; just dont forget to add back in the 7 7+ 421/999 and reduce ;)
anonymous
  • anonymous
wait so reduce and add 7 to the numerator or denominator or both haha
amistre64
  • amistre64
its just a 7, nothing special about it. 7 + fraction
amistre64
  • amistre64
and i need to recheck my calculations on the other one prolly
anonymous
  • anonymous
alright haha can i put it in the calculator and also how do i show my work for this problem?
amistre64
  • amistre64
depends on what level your spose to know; if this is for mathematical induction proofs, then youll have to go another route, otherwise id just do as i did
amistre64
  • amistre64
the -5 is throwing me off i think; lets avoid it and go for the deci instead A = .08282 1000A = 82.8282 - 10A = .8282 ---------------- 990A = 82 A = 82/990 let me see what the wolf makes of that
amistre64
  • amistre64
http://www.wolframalpha.com/input/?i=-5-82%2F990 much better
amistre64
  • amistre64
-(5+frac) so include back in the number part
anonymous
  • anonymous
wait now i am confused more
amistre64
  • amistre64
tell me where you got lost :)
anonymous
  • anonymous
on both answers haha i thought i had the 1st one right then you said you might have got it wrong.
amistre64
  • amistre64
the first one was good; it was the last one that the negative part was messing with me. 7 + frac = 7 + 421/999 -(5 + frac) = -(5 + 82/990 )
anonymous
  • anonymous
alright so for the first one i got 7414/999 cause the fraction is added by 7 is that correct?
amistre64
  • amistre64
yep that ones good
anonymous
  • anonymous
Ok so the answer is 7141/999 and that can't be reduced... i am just making sure.
anonymous
  • anonymous
sorry meant 7414/999

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