SOLUTION: 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 ex
Question 980537: 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!! Found 2 solutions by macston, Alan3354:Answer by macston(5194) (Show Source):
You can put this solution on YOUR website! .
Using given method:
.
.
Convert mixed fractions and decimals to improper fractions.
12.6 = 12 6/10 = 126/10 This denominator from tenths in the decimal.
83 2/3 = 251/3 This denominator from thirds in the percent.
. Cross multiply
.
. Divide each side by 100. Convert right side to thousands,
multiply by (equivalent to 1) to make it easier
to convert to decimal.
.
.
Even by hand (without calculator), I find it quicker to use:
though the first method avoids any error from rounding.
You can put this solution on YOUR website! Find 83 2/3 % of 12.6
-------------
83 2/3 % = 251/3 %
% = per hundred
--> (251/3)/100
-----------------------------
12.6*(251/3)/100 = 10.542
