anonymous
  • anonymous
what are 5 fractions for 75%
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
hello?
sandra
  • sandra
hello
sandra
  • sandra
well, ok, will start you off, what is 75%?

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sandra
  • sandra
as a fraction
sandra
  • sandra
trust me - I know you want to get this done, but it will be much faster to learn it
anonymous
  • anonymous
2 out of 3?
sandra
  • sandra
well, so when you see a %, you can start by thinking how many out of a 100
sandra
  • sandra
so 75% is 75/100
anonymous
  • anonymous
wait wait 3 out of 4
sandra
  • sandra
so if I say 75% of people love fractions, exactly!
sandra
  • sandra
yes 3/4 is 75%
sandra
  • sandra
and by definition, 75/100 is 75%
sandra
  • sandra
so you can follow the same strategy as before
sandra
  • sandra
you can either start at 75/100 and reduce
sandra
  • sandra
by reduce I mean you can evenly divide both the top and bottom by the same number
sandra
  • sandra
or you can start at 3/4 and multiply
anonymous
  • anonymous
ok
sandra
  • sandra
so go ahead and try, and I'll check it for you
sandra
  • sandra
but on a conceptual level - 75% basically means out of say 100 people, 75 people will do X
anonymous
  • anonymous
wait what do i multiply
sandra
  • sandra
well, just like last time, you started with 2/3
sandra
  • sandra
and multiplied it by 2/2-6/6
sandra
  • sandra
you can start at 3/4, and multiply by 2/2 - 6/6
sandra
  • sandra
now the reason you can do this, is because 2/2, 3/3, 4/4, 5/5, 6/6, they're all actually equal to 1
anonymous
  • anonymous
k
sandra
  • sandra
and multiplying ANYTHING by 1, gets the same basic thing (hence "equivalent")
sandra
  • sandra
so you're really just multiplying by 1 in different but "equivalent" ways
anonymous
  • anonymous
1.6/8
sandra
  • sandra
correct
anonymous
  • anonymous
yay
sandra
  • sandra
=)
anonymous
  • anonymous
um so the next one would be 3/4 and 3/3
sandra
  • sandra
hmmm, well, those are not equal to 1
sandra
  • sandra
3/4 is 75%
sandra
  • sandra
or .75
sandra
  • sandra
it's only equivalent if you multiply the original fraction by 1
sandra
  • sandra
since 2x1 = 2, 3x1 = 3 etc... anything multiplied by 1 = 1
sandra
  • sandra
now fraction wise, the definition of "1" is something divided by itself
sandra
  • sandra
so 1/1, 2/2, 3/3, 4/4, 5/5....
sandra
  • sandra
those are all equal to 1
sandra
  • sandra
and so if you multiple the original fraction by any of those, you'll have an equivalent fraction (since you've just multiplied by 1)
sandra
  • sandra
but it may look different, since there are bigger numbers on the top and the bottom
sandra
  • sandra
so the first one you did was correct, you multiplied by 2/2
sandra
  • sandra
now you want to multiply by 3/3 and on
anonymous
  • anonymous
so i multiply 3/4 and 3/3
sandra
  • sandra
oh sorry lol
sandra
  • sandra
I was still stuck on the last question
sandra
  • sandra
which was 2/3
sandra
  • sandra
yes!
sandra
  • sandra
you are in fact right haha
sandra
  • sandra
sorry =)
anonymous
  • anonymous
its ok
anonymous
  • anonymous
9/12!
sandra
  • sandra
yes! =)
anonymous
  • anonymous
yay
sandra
  • sandra
and ps, you can check these by plugging them into your calculator
anonymous
  • anonymous
3/4 and 4/4
sandra
  • sandra
75% can also be written as .75
sandra
  • sandra
because 75/100 is .75
sandra
  • sandra
(move the decimal places two to the left)
sandra
  • sandra
so every fraction you give me, if you put it in your calculator and divide, should equal .75
anonymous
  • anonymous
the next answer is 12/16
sandra
  • sandra
correct =)
anonymous
  • anonymous
wow lol=)
sandra
  • sandra
so if you divide 12 by 16 in your calculator, you will get .75
anonymous
  • anonymous
thats incredible
sandra
  • sandra
it makes a lot of sense once you practice =). and that's when math starts getting fun - once it finally makes sense
sandra
  • sandra
so keep going =)
anonymous
  • anonymous
ok
anonymous
  • anonymous
15/20!!!
sandra
  • sandra
mhmm =)
sandra
  • sandra
good work!
anonymous
  • anonymous
ok now can u help me with 60%
sandra
  • sandra
ok sure, and it's important you learn the other side of fractions, reduction
sandra
  • sandra
meaning you start with a big fraction, and then reduce it to equivalent fractions (make the numbers smaller)
sandra
  • sandra
so 75% - we said a basic definition of that is 75/100
sandra
  • sandra
as in if 75% of people like football, 75/100 people like football
sandra
  • sandra
so what is 60%?
anonymous
  • anonymous
3/5 is 60%
sandra
  • sandra
that is definitely true =)
sandra
  • sandra
ok so let's do this systematically
sandra
  • sandra
65% is the same thing as .65
sandra
  • sandra
sorry lol
sandra
  • sandra
60% is the same thing as .6
sandra
  • sandra
which is the same thing as .6/1
sandra
  • sandra
ok but that's not even numbers
sandra
  • sandra
but remember what we can do to fractions to get equivalent fractions
sandra
  • sandra
multiply by 1
sandra
  • sandra
so in this case, we want to get rid of the decimal place
sandra
  • sandra
since fractions don't have decimals (in this context)
sandra
  • sandra
so let's multiple by 10/10
anonymous
  • anonymous
ok
sandra
  • sandra
which will move each decimal point by one place (since it's one zero in 10)
anonymous
  • anonymous
you know i owe you big time for this
sandra
  • sandra
it's ok! I've been there, just learned this last year
sandra
  • sandra
so .6/1 x 10/10 = (.6 x 10)/ (1 x 10)
sandra
  • sandra
so we know that 60% - which is the same thing as .6 , actually equals 6/10
anonymous
  • anonymous
what year of high school are you in i just started junior year
sandra
  • sandra
you can use that system to turn *any* % into a fraction
sandra
  • sandra
I'm a Sr.!
anonymous
  • anonymous
awesome
sandra
  • sandra
basically multiple by some power of 10, to get rid of the decimals, and you have the equivalent fraction
sandra
  • sandra
so .6/1 x 10/10 = 6/10
sandra
  • sandra
so we know that 6/10 is one equivalent fraction to .6
sandra
  • sandra
if you put it in the calculator, you will see that it's true
sandra
  • sandra
so now that you know 60% is 6/10, you can use the same system (multiplying by 1), to get five equivalent fractions
anonymous
  • anonymous
wow your right
sandra
  • sandra
so as a side note before returning to the question, here are a few more examples:
sandra
  • sandra
63% = .63/1 . well, we would need to multiple by 100/100 just so .63 doesn't have a decimal
sandra
  • sandra
so .63/1 x 100/100 = 63/100
sandra
  • sandra
so now you know that 63% is also .63, but also the fraction 63/100
sandra
  • sandra
anyway so back to the question: you now know that 60% = 6/10
anonymous
  • anonymous
OMG it my curfiew gotta go lets start a session tomorrow around 5:00!!!!!!!!!
sandra
  • sandra
ok =) I'll be around here probably 5 or 6. what timezone lol?
sandra
  • sandra
west coast?
anonymous
  • anonymous
pm
sandra
  • sandra
oh I meant, are you west coast or east coast, since your 5pm may be my 8pm
anonymous
  • anonymous
what city u live in
anonymous
  • anonymous
lol
sandra
  • sandra
atlanta, georgia
anonymous
  • anonymous
louisville,kentucky
sandra
  • sandra
ok cool =)
sandra
  • sandra
well I'll be around tomorrow evening too then
anonymous
  • anonymous
bye bffl
sandra
  • sandra
ok! yep ttytm!
sandra
  • sandra
=) and ty

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