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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
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Quote:
 Originally Posted by Zman15 Task 1.23 Shorten the fractions A) 100/6= I did 2*50/2*3 $\displaystyle \ \ \ \ \$2*50/(2*3) and i then removed the 2 numbers and got 50/3 = 16.67 But the book says 100/6= 2*2*5*5/2*3$\displaystyle \ \ \ \ \$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?
Use parentheses around your denominators when you have products
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 Tags fraction, question, shortening Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Monox D. I-Fly Elementary Math 1 October 8th, 2014 05:42 AM Miku Elementary Math 1 July 6th, 2012 11:08 AM schLoL Algebra 4 December 23rd, 2010 12:43 PM Rem700PSS Algebra 1 January 31st, 2010 05:05 PM hotgal24 Number Theory 7 February 23rd, 2008 09:05 AM

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