Answer: [tex]\dfrac{6}{26}[/tex]
Step-by-step explanation:
Given
Denominator is 4 more than twice its numerator
Suppose the numerator is x. So, it follows above condition, fraction becomes
[tex]\Rightarrow \dfrac{x}{2x+4}[/tex]
If both numerator and denominator are reduced by 6, they become equal
[tex]\Rightarrow 12(x-6)=2x+4-6\\\Rightarrow 12x-72=2x-2\\\Rightarrow 10x=70\\\Rightarrow x=7[/tex]
The fraction is
[tex]\Rightarrow \dfrac{x}{4x+2}=\dfrac{6}{4\times 6+2}\\\\\Rightarrow \dfrac{6}{26}[/tex]
