Answer:
8/11
Step-by-step explanation:
Let the numerator = x
Denominator =x + 3
Number : [tex]\dfrac{x}{x+3}[/tex]
[tex]\dfrac{x+14}{x+3-3}=\dfrac{11}{4}\\\\\\\dfrac{x+14}{x}=\dfrac{11}{4}[/tex]
Cross multiply,
4*(x +14) = 11*x
4x + 4*14 = 11x
4x + 56 = 11x
Subtract 4x from both sides
56 = 11x - 4x
56 = 7x
7x = 56
Divide both sides by 7
x = 56/7
x = 8
[tex]\dfrac{8}{11}[/tex]
