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May 10th, 2015, 09:15 AM  #1 
Member Joined: Jan 2015 From: Norway Posts: 95 Thanks: 1  Shortening a fraction question
Task 1.23 Shorten the fractions A) 100/6= I did 2*50/2*3 and i then removed the 2 numbers and got 50/3 = 16.67 But the book says 100/6= 2*2*5*5/2*3= 50/3 Is my way also correct and acceptable or is only the way the book showed correct and acceptable? 
May 10th, 2015, 12:33 PM  #2 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 
Both methods are valid (in fact, they are almost the same) and give the same answer.

May 10th, 2015, 08:27 PM  #3  
Banned Camp Joined: Jun 2014 From: Earth Posts: 945 Thanks: 191  Quote:
as I retyped, because of the Order of Operations. With your first expression entered in a calculator, for example, a value of 150 would be returned, and for your second expression, a value of 150 would also be returned.  
May 20th, 2015, 02:49 AM  #4 
Newbie Joined: May 2015 From: usa Posts: 6 Thanks: 0 Math Focus: trigonometry 
HELLO, I'm including lots of extra versions of the expression to show how you can write the same expression in different ways. How to shorten this fraction? R1+R2 divided by 1/R1+1/R2 We can use a common trick for simplifying a fraction, multiplying by an expression equal to R1+R21/R1+1/R2=R1R2(R1+R2)R1R2(1/R1+1/R2)=R1R2(R1+R2)R2+R1=R1R2 

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