Question

Solve the problem.

Answer 1

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

Answer 2

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

Answer 3

yes i do want to express it like that... and it just shows it like that on my paper p/q as a fraction.

Answer 4

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

Answer 5

(10^4)x=62525.2525...

Answer 6

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

Answer 7

You may do that, it doesn't matter

Answer 8

Say at first you multiply by 100, then multiply by 10
In my problem I am first multiplying by 10000, and then by 1000

Answer 9

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

Answer 10

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

Answer 11

Any way, since I see you are already familiar with the procedure. I am stating it once again, in a better way, so that you understand the thing better.

Answer 12

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

Answer 13

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

Answer 14

STEP 2. Multiply both sides by 10^n

Answer 15

STEP 3: Multiply both sides by 10^m

Answer 16

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

Answer 17

Subtract the second equation from the first

Answer 18

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

Answer 19

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

Answer 20

yes i know.