### Instruction: The expression $\frac{4k+8}{4}$ simplifies to an expression of the form $ak+b$ where $a$ and $b$ are integers. Find $\frac{a}{b}$ .### Response: To simplify the given expression, I want to divide both the numerator and denominator by the greatest common factor of 4.
That will reduce the fraction to lowest terms.
Dividing 4k by 4 gives me k, and dividing 8 by 4 gives me 2.
So the expression simplifies to $\frac{k+2}{1}$ or just k+2.
Now I can compare this expression to the form ak+b and see that a is 1 and b is 2.