#How to turn fraction to percent?

148 messages · Page 1 of 1 (latest)

jade sparrow
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I've tried the first task with as much as I possibly understood alone. My sister told me to multiply 4 with 0,25 to make it 1, which in math is a whole number and that soon makes the answer 10%(I think)

The next task is 8/40, and now I'm kinda stuck with what I know and my lack of understanding.

lunar fossilBOT
flint garnet
jade sparrow
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the 8 or the 40?

flint garnet
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the 40, but you have to multiply both, to keep the equivalency

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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%

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oops discord screwed it up

jade sparrow
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can you do the calculation on the first one(40 to 100 that becomes 2,5) without a calculator?

flint garnet
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okay

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first reduce the fraction:
8/40 -> (divide by 2) -> 4/20 -> (divide by 2) -> 2/10
multiplying by 10 -> 20/100 -> 20%

ebon oak
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no need to do all this mess, you can just interpret % numerically as 1/100

flint garnet
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so it's % will be (13 x 100/7) %

ebon oak
ebon oak
flint garnet
jade sparrow
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What if i divide 8/40 with 2, then repeat once I see 4/20 and then get 0,2 which is 20%

ebon oak
dim ravine
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Multiply the number by 100

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Btw 1/4 is 25 percent

slow drift
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yea just multiply by 100

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$\frac{8}{40} \times \frac{100}{1}$

clear vectorBOT
slow drift
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40 and 100 simplifies

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$\frac{8}{2} \times \frac{5}{1}$

clear vectorBOT
slow drift
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$\frac{40}{2}=20$

clear vectorBOT
jade sparrow
slow drift
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u need to multiply the numerators and multiply the denominators

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do u know the rules of cancelling?

jade sparrow
# clear vector **RI**

I'm seeing a drastic change of numbers. Is it 5/1 because you divided 100 with something repeatedly to get 5?

jade sparrow
slow drift
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basically for ex 8/4 has an lcm of 4

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so if we divide both numerator and denominator by 4, it will be the same

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8/4=2,4/4=1

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so 8/4 =2/1

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we can also cancel diagonally

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so, 40 and 100 has an lcm of 20

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dividing both by 20, we get -

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40=2 and 100=5

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so,$\frac{8}{40} \times \frac{100}{1}$=$\frac{8}{2} \times \frac{5}{1}$

clear vectorBOT
slow drift
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sry but gtg have geo exam tmrw

tired tree
tired tree
# jade sparrow I've tried the first task with as much as I possibly understood alone. My siste...

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

jade sparrow
tired tree
jade sparrow
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I will

tired tree
jade sparrow
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WHAT

flint garnet
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hey i just got back from uni and i see that this is still going lol

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so i'll try to explain everything in one go

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what is '%'? like everyone said, numerically it just means X% = this number * (1/100)

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but you can think of it intuitively like it's a loading screen, or pieces of a pizza, or partitions of something in general

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i'll stick with the loading screen example because it's what i draw in my head

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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

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how does it related to fractions:

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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

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so how to turn a fraction into %?

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i'll use your examples than some more

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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

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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

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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

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25/100 is 25%

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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.

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so we'll simplify it

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we can divide both 8 and 40 by 4, so it becomes 2/10

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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%)

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just multiply by 10

flint garnet
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so i do it step by step using prime numbers

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2, 3, 5, 7, 11, 13

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until it's good enough

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C) 13/7. this is the example i did earlier. this fraction is quite odd and doesn't give a clean result

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because the bottom number isn't divisible by 100

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so the percentage is the number 13*100/7

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or 1300/7

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you can keep it like this

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the same for other odd examples, as 101/99

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the percentage is 101*100/99

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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

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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

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this time the percentage is 52*100/11 or 5200/11

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also don't forget the percentage at the end that i keep ocluding

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it's really important

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so it's 5200/11%, 10100/99%, etc etc

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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

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@jade sparrow

lean prairie
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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 !!

narrow yoke
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is this still ongoing. OP?

jade sparrow
jade sparrow
narrow yoke
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sure

jade sparrow
narrow yoke
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i'm actually quite lost as to where this has gone to, so i'm only going to answer questions after this

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if it's ok with OP

tired tree
lean prairie
jade sparrow
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LMAO

jade sparrow
tired tree
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I’ll try to draw it

narrow yoke
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here's how to start

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oh oops 4/9

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this way around

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is OP here?

jade sparrow
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yes

narrow yoke
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shall we continue?

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i'll just put the next step here first then

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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

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so we put down a 0 on top of the 4, add a 0 after the decimal point, and consider the two digits together

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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

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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

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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

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since this pattern continues on forever, we can just stop and say that 4/9 = 0.4..... (endless/infinite 4s after that)

jade sparrow
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I'm so confused with the line beside 9

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What is ti?

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It* 😢

narrow yoke
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that's the division separator

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it's connected to the line between the 4 and the answer above it

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it separates the dividend (the number underneath the separator) from the divisor (the number to the left) and the quotient (the number above)

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does primary school not teach long division nowadays catthink

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(just to add: i don't mean to mock you or anyone, but i'm curious if long division is being taught nowadays)

jade sparrow
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Don't worry lol, I didn't find your question offensive at all.

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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)

narrow yoke
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i see, interesting

jade sparrow
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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.

narrow yoke
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nice, good to hear

jade sparrow
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Is this what you're taught at uni?

narrow yoke
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no, we learned this in primary school

jade sparrow
narrow yoke
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or elementary/grade school, whatever term your country uses

jade sparrow
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Ohh okay

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Since my math problem has been solved I'll just close it

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!finis

narrow yoke
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sure. see you around

jade sparrow
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!finish

narrow yoke
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!done

lunar fossilBOT
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If you are done with this channel, please mark your problem as solved by typing .close

jade sparrow
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OH HELP

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LMAO

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!close

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.close

lunar fossilBOT
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Solved

Post marked as solved by @jade sparrow.

Use .unsolved if this was a mistake.