#How to turn fraction to percent?
148 messages · Page 1 of 1 (latest)
the easiest way to do it is what your sister told you: multiply something to get 1, 10, 100 etc.
the 8 or the 40?
the 40, but you have to multiply both, to keep the equivalency
i'll multiply to 100:
40 to 100 is 2.5 -> 40 x 2.5 = 100
so we do 8 x 2.5 = 20
8/40 is 20%
oops discord screwed it up
can you do the calculation on the first one(40 to 100 that becomes 2,5) without a calculator?
okay
first reduce the fraction:
8/40 -> (divide by 2) -> 4/20 -> (divide by 2) -> 2/10
multiplying by 10 -> 20/100 -> 20%
no need to do all this mess, you can just interpret % numerically as 1/100
if it's a harder fraction, example 13/7, you can multiply both by 100/7 to get the transformed fraction
so it's % will be (13 x 100/7) %
what is 8/40 in percentage? simple, just multiply by one (100%) to get 800/40 %
just do directly this, no need to think, it must be automatic so that you can't make mistakes
bro don't need to ego check she's just learning
What if i divide 8/40 with 2, then repeat once I see 4/20 and then get 0,2 which is 20%
yeah!
you're making it more difficult than it is
RI
RI
$\frac{40}{2}=20$
RI
Wait what
u need to multiply the numerators and multiply the denominators
do u know the rules of cancelling?
I'm seeing a drastic change of numbers. Is it 5/1 because you divided 100 with something repeatedly to get 5?
I don't think so
basically for ex 8/4 has an lcm of 4
so if we divide both numerator and denominator by 4, it will be the same
8/4=2,4/4=1
so 8/4 =2/1
we can also cancel diagonally
so, 40 and 100 has an lcm of 20
dividing both by 20, we get -
40=2 and 100=5
so,$\frac{8}{40} \times \frac{100}{1}$=$\frac{8}{2} \times \frac{5}{1}$
RI
sry but gtg have geo exam tmrw
at the very least they should understand why lol for something so fundamental
percent just means out of 100
so 67% is 67 out of 100 or 67/100
so you want to convert every fraction to have a denominator of 100 and just take the numerator
so for like 1/4, you need to think what number can i multiply 1/4 by to get a 100 in the bottom?
remember, a fraction will only stay the same fraction if you multiply it by it 1 right
so like 5 * 1 = 5, something * 1 = the same something
if you have any number divided by itself, it equals 1
so if i ask you to turn 1/10 into a percentage, you can multiply it by 10/10
1/10 * 10/10 = 10/100, so you know it's 10 % since it's 10 out of 100
and you also know that 10/100 = 1/10 because you multiplied 1/10 by 1 right, since 10/10 = 1
and anything multiplied 1 is the same thing
Good luck 🤞
Ohh
so try it with 1/4
I will
(bc this answer for 1/4 as a percent was wrong)
WHAT
hey i just got back from uni and i see that this is still going lol
so i'll try to explain everything in one go
what is '%'? like everyone said, numerically it just means X% = this number * (1/100)
but you can think of it intuitively like it's a loading screen, or pieces of a pizza, or partitions of something in general
i'll stick with the loading screen example because it's what i draw in my head
100% -> the loading bar is completely filled
50% -> the loading bar is haffway filled
31% -> the loading bar is a third of the way filled, but a littttle less
how does it related to fractions:
100/100 (or just 1) -> the loading bar is full
50/100 (or just 1/2) -> the loading bar is half way
31/100 -> the loading bar is 31% filled
so how to turn a fraction into %?
i'll use your examples than some more
A) 1/4 : this fraction is already reduced (you can't simplify it further) so we need to get the denominator (the bottom number) to be equal to 100
to do that, we need to find what number do we need to multiply this to make 4 be 100
100 divided by 4 is 25
so 4 times 25 is 100
1 times 25 is 25
therefore 1/4 is the same thing as 25/100, because if we multiply the top and the bottom by the same numbers the equivalency diesn't change
25/100 is 25%
B) 8/40. like a lot of people mentioned here, you can just skip to converting this fraction to the percentage form.
but i think it's best practice in general to always work with simplified forms, just to make it easier to grasp.
so we'll simplify it
we can divide both 8 and 40 by 4, so it becomes 2/10
we can simplify it further to 1/5, but at 2/10 it is easy to see how this is equivalent to 20/100 (20%)
just multiply by 10
when you simplify, you want to find numbers that both the top and bottom are divisible of. i personally am still quite dumb at this, even at uni
so i do it step by step using prime numbers
2, 3, 5, 7, 11, 13
until it's good enough
C) 13/7. this is the example i did earlier. this fraction is quite odd and doesn't give a clean result
because the bottom number isn't divisible by 100
so the percentage is the number 13*100/7
or 1300/7
you can keep it like this
the same for other odd examples, as 101/99
the percentage is 101*100/99
you see it's formed by a pattern: given a fraction X/Y, the percentage is X*100/Y
this works for all fractions, even for the simpler ones
the second part (100/Y) is like how much you want to scale the first number X
D) 156/33: this fraction is tricky because you need to know that 156 is divisible by 3 (since the sum of digits is divisible by 3). so you can do the second method right away or simplify one step:
dividing by 3 gives you 52/11
this time the percentage is 52*100/11 or 5200/11
also don't forget the percentage at the end that i keep ocluding
it's really important
so it's 5200/11%, 10100/99%, etc etc
it's basically it. once you get used to it it's really easy to make this stuff in you head, even the more complex ones
@jade sparrow
fraction to percent
example- 1/4 is ? of 100. so we would need 1/4 = x/100. for 4 to get to 100, it would need to be multiplied by 25. multiply top and bottom by 25 and you will get 25/100. 25/100=25%
now that you get when you multiply it has to be a number that can be turned into 100, lets get more complex. 4/9=? of 100??
so we would have to try and find the closest we can get to 100. 9x? close to 100. 9x11 would get us the closest to 100, which would be 99. multiply 4 by 11 also, and you'd get 44/99. multiply 44 by 0.010 and you'd get 0.44. add 44 and 0.44 and you will get 44.44/100 (or rough estimation of 44.4%
basically in short-- you can also divide the numerator by the denominator and multiply by 100 but i like my way better :D
also if this definition isnt good im sorry im only in 8th grd and taking 11th grade classes and have been overwhelmed ;-;
have a blessed day !!
is this still ongoing. OP?
Yeah I had to take a break, day went fast and then went to sleep because of school the next day lol
Yes, but not momentarily. I'm in school so once I start with this task again i'll notify you all
sure
It's fine, I'm just wondering where the 0,010 came from : )
i'm actually quite lost as to where this has gone to, so i'm only going to answer questions after this
if it's ok with OP
Ah don’t do it like that
If you’re converting a difficult fraction to a decimal just do long division
HONESTKY IDK LOL
LMAO
How would you do it? from the start
So if it’s like 4/9
you set it up so the 4 is on the inside and the 9 is on the outside
Then you put a . And add a 0 to the 4
I’ll try to draw it
yes
shall we continue?
i'll just put the next step here first then
so the next question to ask is, how many times does 9 go into 4?
in other words, how many 9s can we subtract from 4 (without going negative)?
the answer is 0, because 4-9 = -5 already
so we put down a 0 on top of the 4, add a 0 after the decimal point, and consider the two digits together
our next step is then to ask how many 9s we can subtract from 40.
the answer to this would be 4, because 40 - 4(9) = 4, and 4 is less than 9, so we can't take any more 9s out
so we write down a 4 on top of the first 0, and then introduce another 0 (the orange one this time) and repeat all over again
but as you can see here, we've went back to 40 already, and we already know that 40 - 4(9) = 4, so this creates a "cycle" where every subsequent number is 4, like so
since this pattern continues on forever, we can just stop and say that 4/9 = 0.4..... (endless/infinite 4s after that)
that's the division separator
it's connected to the line between the 4 and the answer above it
it separates the dividend (the number underneath the separator) from the divisor (the number to the left) and the quotient (the number above)
does primary school not teach long division nowadays 
(just to add: i don't mean to mock you or anyone, but i'm curious if long division is being taught nowadays)
Don't worry lol, I didn't find your question offensive at all.
We're taught the easiest version to calculate a math task while we can express our own way of calculating it(like a calculation pattern that we ourselves have known before)
i see, interesting
Though thank you all so much for helping me and showing me so many ways to debunk this math problem I had, I managed to understand this with my teacher.
nice, good to hear
Compared to what I did with my teacher, this is so much more advanced
Is this what you're taught at uni?
no, we learned this in primary school
or elementary/grade school, whatever term your country uses
sure. see you around
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