how to write 0.123333..... as a fraction and a ratio I will fan and give medal plz help me.

- anonymous

how to write 0.123333..... as a fraction and a ratio I will fan and give medal plz help me.

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- anonymous

@Hero

- Hero

Give me a min.

- anonymous

ok

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## More answers

- Hero

Okay, so what you're supposed to do is this:
Let x = 0.123333...

- Hero

Then multiply both sides of that by 100 to get
100x = 12.3333...

- anonymous

ok

- Hero

Then take x = 0.123333.... and multiply both sides by 1000, so you have
1000x = 123.3333....

- Hero

Then subtract 1000x - 100x in the following manner:
1000x = 123.3333...
-100x = 12.3333...
____________________
900x = 111.0000...

- Hero

You can basically re-write it simply as
900x = 111
Then you continue solving for x by dividing both sides by 900.

- Hero

If you're confused about anything let me know.

- anonymous

ok thanks soo much for your help

- Hero

You're welcome.

- anonymous

yeah i am confused
`

- anonymous

me too !!!!!!

- anonymous

on digit only repeats

- anonymous

the way i read it only the 3 repeats
is that right?

- Hero

@satellite73, always nitpickin

- anonymous

just trying to keep you honest is all
multiply by ten, then subtract

- Hero

You always show up right after I answer a question

- Hero

@mia454
Take 900x = 111
Divide both sides by 900. You should end up with a fraction afterwards.

- Hero

Let me know what you get.

- anonymous

i got 8.1081108...

- anonymous

i divided 900 by 111

- Hero

You should have gotten x = 111/900

- Hero

You divided the wrong way

- anonymous

oh yeah i am so dum i was not paying attention

- anonymous

i got 0.1233333333

- Hero

Yes, but 111/900 is the fraction you want.

- anonymous

oh ok so the fraction is 111/900

- Hero

ya.

- anonymous

thanks and the ratio is

- Hero

The fraction is a ratio

- Hero

Maybe they want you to write it as 111:900

- anonymous

alright thanks sorry to bother u this much

- Hero

You're welcome.

- anonymous

can u help me with another one

- Hero

Actually, I have to go, sorry

- anonymous

ok

- Hero

Just repost your question and tag Satellite. He'll help you

- anonymous

alright then thanks

- anonymous

bye

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