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August 29th, 2016, 11:32 AM  #1 
Newbie Joined: Apr 2016 From: uk Posts: 14 Thanks: 0  Simplifying fractions
Hi, can someone take a look at this please to see if I have it correct? Many thanks. I've been asked to express the following as a single fraction $\frac{1}{T1}+\frac{1}{T2}+\frac{1}{T3}$ have I done this correct to = $\frac{T2T3+T1T3+T1T2}{T1T2T3}$ Last edited by skipjack; October 12th, 2016 at 05:14 AM. 
August 29th, 2016, 11:35 AM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,039 Thanks: 1063 
this is correct as you can see by doing the division for each term.

October 12th, 2016, 03:45 AM  #3 
Newbie Joined: Jun 2016 From: india Posts: 24 Thanks: 4 
Since we are adding fractions with a different denominator , therefore we need to find equivalent fraction of each fraction . Equivalent fractions should have a common denominator. Greatest common divisor = T1T2T3 1/T1 = T2T3/T1T2T3 1/T2 = T1T3/T1T2T3 1/T3 = T1T2/T1T2T3 Now, add the fractions 1/T1 + 1/T2 + 1/T3 = (T2T3 + T1T3 + T1T2)/T1T2T3 
October 12th, 2016, 08:23 AM  #4  
Banned Camp Joined: Jun 2014 From: Earth Posts: 945 Thanks: 191  Quote:
Also, it would be clearer to use an asterisk to separate all of your variables, because the subscripts start looking like coefficients, as your similarlooking variables are all mashed together. At a minimum: Greatest common divisor = T1T2T3 1/T1 = T2T3/(T1T2T3) 1/T2 = T1T3/(T1T2T3) 1/T3 = T1T2/(T1T2T3) Now, add the fractions 1/T1 + 1/T2 + 1/T3 = (T2T3 + T1T3 + T1T2)/(T1T2T3)                                       More clarity: Greatest common divisor = T1*T2*T3 1/T1 = T2*T3/(T1*T2*T3) 1/T2 = T1*T3/(T1*T2*T3) 1/T3 = T1*T2/(T1*T2*T3) Now, add the fractions 1/T1 + 1/T2 + 1/T3 = (T2*T3 + T1*T3 + T1*T2)/(T1*T2*T3)  

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