Thread: Converting Fractions to Percents: If there's a remainder, where do you go from there?

I am converting fractions to percents, rounding to the nearest hundredth.
The problem I'm stuck on is 9/11.
I multiplied 9/11 by 100/1 to get 900/11
Now I've begun dividing, and get stuck at the same part.
Step by step -
1. 11 goes into 90, 8 times
2. 90-88 = 20
3. 20 goes into 11, 1 time
4. 20-11= 9

? ? ? ?

The answer sheet states the answer as being 81.81

Anyone willing to explain & clarify this for me, deeply appreciated

You are correct in your calculations. 900 / 11 is a repeating decimal: 81.818181... When rounded to the nearest hundredth, it is 81.82 since the following digit is 8, which is greater than or equal to 5.

But I never actually get the answer 81.81, I keep getting 81.9

Originally Posted by INDIGOLOST

But I never actually get the answer 81.81, I keep getting 81.9

Originally Posted by INDIGOLOST

Step by step -
1. 11 goes into 90, 8 times
2. 90-88 = 20
3. 20 goes into 11, 1 time
4. 20-11= 9

It would be better to do this using long division, then you could see what you need to do a bit easier. Step 4 should read:
4. 20 - 11 = 9.0
5. 11 goes into 9.0, 0.8 times
6. 9.0 - 0.8 = 0.20
etc. Keep bringing those zeros in.

-Dan

I understand step 4, but you lose me at step 5... HOW does 11 go into 9 ''.8'' times???? so confusing..
I'm sorry I am so algebraically handicapped.

The long division looks like this:

Code:

    81.81...
  --------
12)900     
   88     
   --     
    20     
    11     
    --     
     90     
     88     
     --     
      20     
      12     
      --     
       80     
       ...

Interesting fact: In Russia, the first several lines are written like this:

Code:

900 | 11
88  +------
--  | 81.81
 20