Answer: Therefore, the simplified expression is (a + 2)/a.
Step-by-step explanation:
To simplify the expression (2a + 4)/(5a - 3a), we first need to combine like terms in the denominator:
5a - 3a = 2a
Now, we can substitute 2a for 5a - 3a in the expression and simplify as follows:
(2a + 4)/(5a - 3a) = (2a + 4)/2a
We can simplify further by factoring out 2 from the numerator:
(2a + 4)/2a = 2(a + 2)/2a
The 2 in the numerator and the denominator cancel out, leaving us with:
(a + 2)/a
Therefore, the simplified expression is (a + 2)/a.