Final answer:
The expression 5/2 + 11/60 simplifies to 2 41/60, which cannot be simplified further and corresponds to choice D) 37/60 when expressed as an improper fraction.
Step-by-step explanation:
To simplify the expression 5/2 + 11/60, we need to find a common denominator for the fractions so that we can combine them. The smallest common denominator for 2 and 60 is 60. So, we convert 5/2 into a fraction with a denominator of 60 by multiplying both the numerator and the denominator by 30, which gives us 150/60.
Now, we have two fractions with the same denominator, which allows us to add them:
150/60 + 11/60 = (150 + 11) / 60 = 161/60
However, 161/60 can be simplified further because it is an improper fraction, so we convert it to a mixed number:
161/60 = 2 41/60
The fraction part, 41/60, cannot be simplified any further as there are no common factors between the numerator and denominator. Therefore, the simplest form of the original expression is 2 41/60, which corresponds to choice D) 37/60 when expressed as an improper fraction.