anonymous
  • anonymous
(5)/(2x+8)+(7)/(3x+12) Please Explain Steps!
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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anonymous
  • anonymous
\[\frac{ 5 }{ 2x+8 }+\frac{ 7 }{ 3x+12 }\] Can you factor the denominators?
anonymous
  • anonymous
Yes, by factoring out their respective GCF's.
anonymous
  • anonymous
2(x+4) and 3(x+4)

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anonymous
  • anonymous
ok so then you need a common denominator by finding the lcm of 2(x +4) and 3(x + 4)
anonymous
  • anonymous
6(x+4)?
anonymous
  • anonymous
right. so then you would multiply the first fraction by 3/3 and the second by 2/2 to get the common denominator
anonymous
  • anonymous
Oh! That makes sense. It was the numerators that I was confused about.
anonymous
  • anonymous
Leaving us with 29/6(x+4)?
anonymous
  • anonymous
exactly
anonymous
  • anonymous
Thank you so much for your explanation!
anonymous
  • anonymous
you're welcome

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