Final answer:
The unknown fractional part is found by first converting the given fractions to have a common denominator and then subtracting their sum from the whole. The sum of 3/5 and 1/10 is 7/10, and subtracting this from the whole (10/10) leaves us with the missing part, which is 3/10.
Step-by-step explanation:
The question asks to determine the unknown fractional part of the whole when combined with the fractions 3/5 and 1/10. To solve this, we need to find what fraction, when added to 3/5 and 1/10, will result in a total of 1 (a whole).
First, we find a common denominator for the fractions given and for the whole, which is 1. The common denominator of 5 and 10 is 10. Therefore, 3/5 is equivalent to 6/10 (because 3 × 2 = 6 and 5 × 2 = 10). Now we already have 6/10 + 1/10 = 7/10 from the given fractions.
To find the missing part, we subtract the sum of the given fractions from the whole. We do this by subtracting 7/10 from 10/10 (which is the equivalent of 1), and we get 3/10. Thus, the unknown fractional part is 3/10, meaning the correct answer is (c) 3/10.