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Mathematics 17 Online
OpenStudy (anonymous):

Put 3.24 repeating into a fraction

OpenStudy (anonymous):

i am figuring it out to help ok

OpenStudy (anonymous):

thanks

OpenStudy (welshfella):

0.24.. * 100 = 24.24..... 0.24.. * 1 = 0.24...... Subtract 99 = 24 so its 24/99

OpenStudy (jennyrlz):

what?

OpenStudy (jennyrlz):

it would 24/100 you moved the decimal two places :)

OpenStudy (anonymous):

thats not a opian

OpenStudy (jennyrlz):

but you need to simplif that

OpenStudy (welshfella):

the fraction is 0.2424242424... recurring

OpenStudy (jennyrlz):

still you can round it

OpenStudy (welshfella):

try dividing 24 by 99 on your calculator and see what you get

OpenStudy (anonymous):

so first you take 3.24 move the decimal point over and 324 over a thousand.

OpenStudy (jennyrlz):

let me show you how i would do it then you can compare it to the choices or other answers :P

OpenStudy (anonymous):

so what is it

OpenStudy (jennyrlz):

24/100 divide both sides by 4 6/25

OpenStudy (welshfella):

oh yes sorry i forgot the 3 the answer is 3 24/99

OpenStudy (jennyrlz):

meaning we end up with 3 6/25

OpenStudy (anonymous):

the only one like that is 3 6/97

OpenStudy (jennyrlz):

actually now that i think about i would go with @welshfella

OpenStudy (anonymous):

\[324/1000 \]then divide top by 4 then bottom by 4

OpenStudy (welshfella):

you said 0.24 repeating which i took to mean 0.242424 etc

OpenStudy (jennyrlz):

when you put 24/99 in the calculator you get .24242424

OpenStudy (jennyrlz):

meaning he is right

OpenStudy (anonymous):

so 324 divided by 4 is 81

OpenStudy (jennyrlz):

actauly i think that can be simplified

OpenStudy (welshfella):

if its not repaeating then it is 3 6/25 as yoiu said

OpenStudy (anonymous):

3.24

OpenStudy (jennyrlz):

8/33

OpenStudy (jennyrlz):

3 8/33

OpenStudy (jennyrlz):

24/99 can be simplified by dividing both sides by 3

OpenStudy (anonymous):

thank you

OpenStudy (anonymous):

take1000 divide by 4 = 250

OpenStudy (jennyrlz):

giving us 8/33

OpenStudy (welshfella):

do you see what i mean by 'repeating'. like 0.33333.. = 1/3

OpenStudy (jennyrlz):

i would actually give the medal to welshfella he was the one that was on the right track to begin with

OpenStudy (anonymous):

that is 81 over 250

OpenStudy (jennyrlz):

and that is wrong krissy

OpenStudy (jennyrlz):

close but that gives us .324 not 3.24

OpenStudy (jennyrlz):

but have a good day :)

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