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thompzac
thompzac thompzac
  • 08-04-2015
  • Mathematics
Answered

The question asks to simplify the following (imagine as fraction form / sign stands for fraction form)

a+6/c/2a+6/2c

Verified Answer :

Hippalectryon
Hippalectryon Hippalectryon
  • 10-04-2015

\(a+\dfrac{\frac{6}c}{2a}+\dfrac{6}{2c}\\\\ =a+\dfrac{\frac{6}a}{2c}+\dfrac{6}{2c}\\\\ =a+\dfrac{6\left(1+\frac{1}a\right)}{2c}\\\\ \boxed{a+\dfrac{\frac{6}c}{2a}+\dfrac{6}{2c}=a+\dfrac{3\left(1+\frac{1}a\right)}{c}}\)

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