Final answer:
To find the sum of the two fractions, (4y)/(5) and (3y)/(4), we need to find a common denominator. The common denominator is 20. We can then add the fractions together to get the sum, (31y)/(20).
Step-by-step explanation:
To find the sum of the two fractions, (4y)/(5) and (3y)/(4), we need to find a common denominator that both fractions can be expressed with. In this case, the common denominator is 20, which is the least common multiple of 4 and 5. So, we need to rewrite both fractions with a denominator of 20.
Starting with (4y)/(5), we can multiply both the numerator and denominator by 4 to get (16y)/(20). Similarly, for (3y)/(4), we can multiply both the numerator and denominator by 5 to get (15y)/(20).
Now, we can add the two fractions together to get the sum:
(16y)/(20) + (15y)/(20) = (16y + 15y)/(20) = (31y)/(20)