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