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Simplify !??? (1 Viewer)

trungduong12

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I know my question would sound stupid but yeah... Idk how to do

(1 - 1/19683) over (2/3)

How do u simplify this fraction?? The quickest way possible??

I put in calculator and get 1.499924
It could not show in fraction form
But the answer in the book is in fraction form
I can simplify it but have to break down into steps and takes ages

This is an answer for a series question and therefore should not take too long just to simplify the answer


Anyone help please :(




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dangerouss

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So first you have :
1 - 1/19683 = -1/19683 + 1 = (19682/19683)/ 2/3
= 19682/19682 x 3/2
=59046/39366 (further simplify this to get fractional answer)

And yes, 59046/39366 = 1.499924 :)

I hope this helps

- dangerouss x
 

dangerouss

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and don't worry, you're not stupid :) it's ok to ask questions! I'm sure other mathematicians here would be more than happy to help!
 

trungduong12

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First thing to notice is:

I know
Thats part of my answer too
But the thing is idk how to simplify from that to 9841/6561

My question is what is the quickest way to simplify that because of course i know how to do in smaller steps -.-


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trungduong12

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So first you have :
1 - 1/19683 = -1/19683 + 1 = (19682/19683)/ 2/3
= 19682/19682 x 3/2
=59046/39366 (further simplify this to get fractional answer)

And yes, 59046/39366 = 1.499924 :)

I hope this helps

- dangerouss x
Thats what i did
Of course !!!

My question is: is there any other way (quicker way) to simplify that whole thing?
Because if u get 59046/39366
U then have to keep dividing this number
Which takes time


But still
I dont get how the textbook just doesnt leave it in decimal form like other questions =______=


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dangerouss

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Thats what i did
Of course !!!

My question is: is there any other way (quicker way) to simplify that whole thing?
Because if u get 59046/39366
U then have to keep dividing this number
Which takes time


But still
I dont get how the textbook just doesnt leave it in decimal form like other questions =______=


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If you enter it into your scientific calc. doesnt it give the answer in simplest form ? And the reason why they want it in fraction form is because in an exam markers want to give out marks for a proper method :)
 

trungduong12

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Do i have to simplify it like that (takes too long) in the hsc ? If that type of question/answer comes up???
But the question doesnt say exact or not exact o___O


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trungduong12

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The normal one
82AU

Did u get that answer (i just posted above) just by putting it in ur cacl?



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dangerouss

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I don't have mine right now but if yours is a Casio it should give you the simplified answer ....
 

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