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Put these in acending order:

22/43 , 7.43, 6/34 and 12%

Guest Jul 10, 2017
edited by Guest  Jul 10, 2017
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3+0 Answers

 #1
avatar+3 
+2

First, you'll want to turn all of these into fractions. That gives us \(22/43, 743/100, 6/34, 12/100\)

The next step is to get a common denominator. That would be 43*34*100 or 146200. Converting all of these fractions to this denominator gives \(74800/146200, 1086266/146200, 25800/146200, 17544/146200\)

Then, just sort by ascending order and convert back. 12%, 6/34, 22/43, 7.43.

Now, you may be thinking - this is overly complicated, right?

Well, you can do it another way. Since these are relatively distant numbers, we can simply get the decimal values for each by plugging them into a calculator.

This gives 0.511, 7.43, 0.176, and 0.12. Sort them and you'll have the right answer, but much more quickly.

(To convert percentages to decimals, just take the percentage out of 1. 12% of 1 is 0.12, 0.5% of 1 is 0.005, etc.)

Hope this helped!

wintheawesome  Jul 10, 2017
 #2
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In ascending order: 12%,  6/34,  22/43,  7.43

Guest Jul 11, 2017
 #3
avatar+6810 
+2

7.43 of course is the greatest because all other numbers are smaller than 1.

then, we can easily see that 22/43 is slightly greater than 1/2 which is 22/44.

6/34 is smaller than 1/2.

12% is smaller than 1/2.

 

so 22/43 is the second greatest number.

 

then we compare 6/34 and 12%.

12% = 0.12

6/34 = 3/17 approximately equal 0.18 <--- use a calc.

 

so 6/34 is greater than 12%.

 

so in ascending order, 12%, 6/34, 22/43, 7.43

MaxWong  Jul 11, 2017

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