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 August 29th, 2016, 12:32 PM #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 06:14 AM.
 August 29th, 2016, 12:35 PM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 2,262 Thanks: 1198 this is correct as you can see by doing the division for each term. Thanks from mathmere
 October 12th, 2016, 04:45 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, 09:23 AM   #4
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Quote:
 Originally Posted by rahuljoshi 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
You need grouping symbols around those products in those denominators when they are typed out horizontally.
Also, it would be clearer to use an asterisk to separate all of your variables, because the subscripts start looking
like coefficients, as your similar-looking variables are all mashed together.

At a minimum:

Greatest common divisor = T1T2T3
1/T1 = T2T3/(T1T2T3)
1/T2 = T1T3/(T1T2T3)
1/T3 = T1T2/(T1T2T3)

1/T1 + 1/T2 + 1/T3 = (T2T3 + T1T3 + T1T2)/(T1T2T3)

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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)

1/T1 + 1/T2 + 1/T3 = (T2*T3 + T1*T3 + T1*T2)/(T1*T2*T3)

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