Final answer:
The expression (4x)/(9)+(7)/(3) when simplified, results in the fraction (4x + 21)/9, after converting (7)/(3) to have a common denominator with (4x)/(9).
Step-by-step explanation:
To solve the expression (4x)/(9)+(7)/(3), we first need to add the two fractions. To do this, we must have a common denominator. Since 9 and 3 are both compatible (3 is a factor of 9), we can easily find a common denominator, which is 9.
We convert the second fraction (7/3) to have the same denominator as the first fraction (4x/9), so it becomes (7*3)/(3*3) which simplifies to 21/9. Now that we have the same denominator, we can add the fractions.
Our expression is now (4x/9) + (21/9). Since they have the same denominator, we simply add the numerators: 4x + 21. So our combined fraction is (4x + 21)/9.
If x is a variable and we do not have a value for x, this is the simplest form of the expression. However, if we had a value for x, we could substitute it and simplify further.