Final answer:
The sum of the fractions (3/10) and (3/5) is (9/10) when calculated with a common denominator of 10.
Step-by-step explanation:
To perform the indicated calculation and reduce the fractions, we start by finding a common denominator for the fractions (3/10) and (3/5). The common denominator for these two fractions is 10. We convert (3/5) to a fraction with a denominator of 10 by multiplying both the numerator and denominator by 2, which makes the fraction (6/10). Now we can add the fractions:
(3/10) + (6/10) = (9/10)
The fractions are now added, and the sum is (9/10), which is already in its simplest form. Therefore, the main answer is (9/10).