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\[6\overline{.25}= P/Q\]

Do you want to express 6.25252525..........as P/Q, where P and Q are coprimes?

First I say
let x = 6.252525...........
Now I multiply both sides by 10^4

(10^4)x=62525.2525...

On my homework it says to multiply it by a hundred or that is what my teacher told me.

You may do that, it doesn't matter

Oh well i am not sure how that is why i posted it on here haha.

what do you mean by "Oh well i am not sure how that is"

I am not sure how to multiply it by a 100 like i don't know how to solve it.

STEP 1. Assume x = (the number given to you)

STEP 2. Multiply both sides by 10^n

STEP 3: Multiply both sides by 10^m

So now you have two equations (Not m must be lesser than n)

Subtract the second equation from the first

Now you will get a good equation which looks like P/Q

I am solving the problem given by you....

yes i know.

|dw:1327088110491:dw|

now what do i do after this doesnt it have to be turned into an equation.

|dw:1327088136907:dw|

|dw:1327088233575:dw|

|dw:1327088285898:dw|

|dw:1327088337495:dw|

So I have expressed x as P/Q, and x is equal to 6.2525...

Did you understand?

So the last part is p/q? And yes for the most part i did.

Of course, the last part is p/q

However, you must simplify that, to get the actual p and q

alright just making sure... so it does not need to be reduced

Yes, you need to reduce ofcourse

alright

A similar problem is solved there