Decimals to Fractions
- SilverFJ
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Decimals to Fractions
I've never been very good at math (never passed a math class in my life, not even pre-algebra, I guess my brain refuses to accept it...), but I know this board is riddled with ****ing geniuses, so I was curious. I was checking out my profile page out of boredom and it said I had \"0.66% of total\" for my posts, so out of how many posts on this board would I be responsible for in the fraction form?
- Lothar
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To convert a decimal to a fraction:
A) If the decimal doesn't repeat (example: .00335)
- count the digits after the decimal place (in this case, 5)
- put the original number over a 1 with that many zeros after it (00335/100000 -- five zeros. Remember a decimal number is just a way to say you have however many tenths, hundredths, thousandths, etc.)
- reduce the fraction, if possible (67/20000 -- both numerator and denominator can be divided by 5)
B) If the decimal does repeat (example: .18181818 and so on)
- count the number of repeating digits (in this case, 2)
- put the number of repeating digits over the same number of 9's (18/99). This works because 1/99 = 1/100 + 1/10000 + 1/1000000 + ...
- reduce, if possible (2/11 -- divide both by 9)
C) If a decimal has leading zeros (example: .000181818 repeating)
- count the number of leading zeros, and put them as trailing zeros in the denominator (2/11000 -- the same as 2/11 * 1/1000)
D) If the decimal is mixed (example: .13518181818 and so on, repeating 18's)
- split the decmial into repeating and non-repeating parts (example: .135 + .00018181818)
- deal with each part as above (135/1000 + 2/11000)
- put everything over a common denominator and combine (135*11 = 1485, so 1485/11000+2/11000 = 1487/11000)
A) If the decimal doesn't repeat (example: .00335)
- count the digits after the decimal place (in this case, 5)
- put the original number over a 1 with that many zeros after it (00335/100000 -- five zeros. Remember a decimal number is just a way to say you have however many tenths, hundredths, thousandths, etc.)
- reduce the fraction, if possible (67/20000 -- both numerator and denominator can be divided by 5)
B) If the decimal does repeat (example: .18181818 and so on)
- count the number of repeating digits (in this case, 2)
- put the number of repeating digits over the same number of 9's (18/99). This works because 1/99 = 1/100 + 1/10000 + 1/1000000 + ...
- reduce, if possible (2/11 -- divide both by 9)
C) If a decimal has leading zeros (example: .000181818 repeating)
- count the number of leading zeros, and put them as trailing zeros in the denominator (2/11000 -- the same as 2/11 * 1/1000)
D) If the decimal is mixed (example: .13518181818 and so on, repeating 18's)
- split the decmial into repeating and non-repeating parts (example: .135 + .00018181818)
- deal with each part as above (135/1000 + 2/11000)
- put everything over a common denominator and combine (135*11 = 1485, so 1485/11000+2/11000 = 1487/11000)
- Foil
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Re:
True! My impression was that he is asking for a common-man measure of what 0.66% means, which is why I left it as an "x in 10,000".AlphaDoG wrote:reduce it to it's lowest denominator 33/5000
- SilverFJ
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I can add and subtract fairly well and devide by 5s pretty good...
I'm a foreman at a fish processing plant in Alaska. My job mainly consists of machine operation, training, supervision, and basically being a hard-ass bastard punisher... The most math I have to do is how much fish we need to process and the poundage of fish processed devided by 5 (5lb is the average weight of an adult sockeye). Lot numbers (seperate boatloads of fish) begin with a number code for a certain boat and you just add 01 for each new lot. Other than that it's just negotiating break times with other departments.
I'm a foreman at a fish processing plant in Alaska. My job mainly consists of machine operation, training, supervision, and basically being a hard-ass bastard punisher... The most math I have to do is how much fish we need to process and the poundage of fish processed devided by 5 (5lb is the average weight of an adult sockeye). Lot numbers (seperate boatloads of fish) begin with a number code for a certain boat and you just add 01 for each new lot. Other than that it's just negotiating break times with other departments.
- Sergeant Thorne
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lol, these are the sort of answers you would get from math geniuses . . .
While 66 / 10000 may be exactly correct and may answer the original question, it's not really something the intellect can easily grab on to. What I would do in this case is take the decimal -- .66%, or 0.0066 -- and put it in the calculator, and hit the 1/x key. It says, \"151.5151 . . . \".
With a little rounding, that means that roughly one out of 150 posts is yours.
(<--- so totally an engineer these days. Thus the math genius bashing. )
While 66 / 10000 may be exactly correct and may answer the original question, it's not really something the intellect can easily grab on to. What I would do in this case is take the decimal -- .66%, or 0.0066 -- and put it in the calculator, and hit the 1/x key. It says, \"151.5151 . . . \".
With a little rounding, that means that roughly one out of 150 posts is yours.
(<--- so totally an engineer these days. Thus the math genius bashing. )
Re: Decimals to Fractions
Alright, I'll try to explain it really slowly.SilverFJ wrote:I've never been very good at math (never passed a math class in my life, not even pre-algebra, I guess my brain refuses to accept it...), but I know this board is riddled with ****ing geniuses, so I was curious. I was checking out my profile page out of boredom and it said I had "0.66% of total" for my posts, so out of how many posts on this board would I be responsible for in the fraction form?
Firstly, you have 0.66% - which is out of 100%
To turn 100% into one whole piece, which would be the number one, you would divide 100 by 100 to get 1.
Hence, 0.66 divided by 100 is 0.0066. Out of every piece, your posts are 0.0066 of one.
So, to convert this into a fraction, it would be your posts over the whole piece, which would be 0.0066/1.
To convert this from a decimal, you'd multiply the whole fraction by the lowest number required to eliminate the decimal, which would be 5000. This fraction would turn into 33/5000.
So, out of every 5000 posts, 33 are yours.
(I am in the International Baccalaureate Program, if I didn't know this crap I'd be getting straight Fs.)
Re:
yup, a trollSilverFJ wrote:Ok I think I get it thanks Dakatsu!
edit--Hey ccb not everybody is as omniscient as yourself...sorry if I've polluted your time and board space with with my silly interest in things simple to you. *****.
I haven't lost my mind, it's backed up on disk somewhere.
Re:
Yeah, the kind of trolls with 1531 postsccb056 wrote:yup, a trollSilverFJ wrote:Ok I think I get it thanks Dakatsu!
edit--Hey ccb not everybody is as omniscient as yourself...sorry if I've polluted your time and board space with with my silly interest in things simple to you. *****.
Re:
yeah and who every really carries around enough acid to entirely disolve an 8 to 9 foot troll?!? o_0Lothar wrote:I think he means me. I'm the troll. You can only permanently damage me with fire or acid.
- SilverFJ
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A troll with 3 years of this board on you as well...ccb056 wrote:yup, a trollSilverFJ wrote:Ok I think I get it thanks Dakatsu!
edit--Hey ccb not everybody is as omniscient as yourself...sorry if I've polluted your time and board space with with my silly interest in things simple to you. *****.
Not like thats some kinda status symbol but screw off man, I was just asking a question. If you walked around insulting people all the time for no reason you'd go home with a black eye every day.
- SilverFJ
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Oh yeah, me, I carry that ★■◆● in a camel-pak in case I run across a troll.Duper wrote:yeah and who every really carries around enough acid to entirely disolve an 8 to 9 foot troll?!? o_0Lothar wrote:I think he means me. I'm the troll. You can only permanently damage me with fire or acid.
Re:
What part of Alaska? My wife's born and raised in Wasilla, (she was Sarah Palin's basketball team manager in high school) and worked an ultra- processor for a while. Her brother's chief steward on one now.SilverFJ wrote:I can add and subtract fairly well and devide by 5s pretty good...
I'm a foreman at a fish processing plant in Alaska. My job mainly consists of machine operation, training, supervision, and basically being a hard-ass bastard punisher... The most math I have to do is how much fish we need to process and the poundage of fish processed devided by 5 (5lb is the average weight of an adult sockeye). Lot numbers (seperate boatloads of fish) begin with a number code for a certain boat and you just add 01 for each new lot. Other than that it's just negotiating break times with other departments.
I've had some good times halibut fishing Cooke Inlet, climbing Matanuska Glacier, fighting off monster mosquitos, etc.
And outside of shop trig, I ain't that great with math myself, though I have a son who plays with advanced calculus problems for fun. (He's an engineering major, computer science minor):P