Question

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

Answer 1

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