$$0.142857142\dot 857142\dot 8$$

Question

cwrw238 · Answer

nice number

cwrw238 · Answer

repeating decimal - convert to a fraction?

cwrw238 · Answer

- oh you haven't indicated that its repeating

unklerhaukus · Answer

ill fix that

unklerhaukus · Answer

is that right now?

cwrw238 · Answer

yea - but its been a while since i did these..

unklerhaukus · Answer

multiply by one million?

unklerhaukus · Answer

$$\qquad\qquad x=0.142\dot857142\dot 8$$$$10^6x=142857.142\dot 857142\dot 8$$
$$(10^6-1)x=142857$$
$$x=\frac{142857}{10^6-1}=\frac{142857}{999999}$$
$$\quad=$$

unklerhaukus · Answer

how can i simplify this?

anonymous · Answer

its walue of 1/7 verbly

unklerhaukus · Answer

How can i show this

zepp · Answer

>Take calculator
>Enter value
>Math > Frac

:D

unklerhaukus · Answer

$$x=\frac{142857}{999999}=\frac{142857}{9\times111111}=\cdots$$

unklerhaukus · Answer

im dont want to have to use a calculator

zepp · Answer

111111/11 = 10101

anonymous · Answer

uper value is divisible by 9 deivide it manually

unklerhaukus · Answer

i know the 1+4+2+8+5+7=27=3x9 so the denominator but be a multiple of nine

unklerhaukus · Answer

how can i use that @zepp   you mean long division @theyatin?

anonymous · Answer

i dont know what zep is thinking of but simplify whole system as much you can go for it. . .

zepp · Answer

Prime factorization :D

zepp · Answer

But you'll end up with the same thing you have above, the decimal thingy

unklerhaukus · Answer

i can not See the factors

zepp · Answer

Perform a long division with the original fraction then?

unklerhaukus · Answer

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