SOLUTION: Reference question 980537. Find 83 2/3% of 12.6. I got to this point with no problem: 100x=31626/30. The next step should be dividing each side by 100. Macston(5191) answered quest

Algebra ->  Proportions  -> Lessons -> SOLUTION: Reference question 980537. Find 83 2/3% of 12.6. I got to this point with no problem: 100x=31626/30. The next step should be dividing each side by 100. Macston(5191) answered quest      Log On


   

Question 1050118: Reference question 980537. Find 83 2/3% of 12.6. I got to this point with no problem: 100x=31626/30. The next step should be dividing each side by 100. Macston(5191) answered question 980537. Im confused gow he got 31626/3000 and why he says to multiply by 1/3. Can you please explain it to me?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there!
My question is: Find 83 2/3 % of 12.6
This website shows how to do this problem, but I am having trouble understanding it. Could anyone please break it down and explain step by step what the process is without the usage of a calculator.
It is example 4 on this page:
http://amby.com/educate/math/4-2_prop.html
What I don't understand most is how they got 126/10 and 251/3. Where are the denominators of those fractions coming from? I do know how 251 came about (from the 83 & 2/3). What I have done is set up my equation exactly like the site has however I thought you have to multiply 12.6 (251) divided by 100 to get x. Please help!
Thanks in advance!!
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The already posted solution appears correct, so how it might be confusing is not too clear. Understand meaning of percent. Maybe use the fraction as its improper fraction form.

%2883%262%2F3%29percentOf 12.6, is what value?

That means %28%2883%262%2F3%29%2F100%29%2A12.6, which is just the LITERAL translation.

%28%2883%2A%283%2F3%29%2B2%2F3%29%2F100%2912.6

%28%28249%2F3%2B2%2F3%29%2F100%2912.6, fraction skills

%28%28251%2F3%29%2F100%2912.6

and more fraction skills,
%28251%2A12.6%29%2F%28100%2A3%29, hoping not too hard to see that step

Try to simplify, but not easy to pick just how...
%28251%2A12.6%29%2F%28100%2A3%29=%28251%2F100%29%2812.6%2F3%29

%28251%2F100%29%284.2%29

and you MIGHT want to do this as decimals to finish since LCD is either 10 or 100.

%282.51%29%284.2%29

highlight%2810.542%29, but did you want as a mixed number or improper fraction instead? Did you want it reduced?