Final answer:
To add the fractions 3(1)/(2) and 4(1)/(6), find a common denominator and add the numerators.
Step-by-step explanation:
To add the fractions 3(1)/(2) and 4(1)/(6), we need to find a common denominator. The least common multiple of the denominators 2 and 6 is 6. We can rewrite the fractions with the common denominator:
3(1)/(2) = 6(1)/(6) and 4(1)/(6) remains the same.
Now we can add the numerators and keep the common denominator:
6(1)/(6) + 4(1)/(6) = 10(1)/(6).
So, 3(1)/(2) + 4(1)/(6) = 10(1)/(6).