Final answer:
Intuition guides us to use a common denominator when adding or subtracting fractions. This allows for the direct addition of numerators, as shown in the example of adding 1/2 and 1/3 to get 5/6.
Step-by-step explanation:
Our intuition can greatly assist in the addition and subtraction of fractions by helping us understand the concept of finding a common denominator. For example, when adding 1/2 and 1/3, intuition suggests that the result should be more than one-half but less than the sum of one-half plus one-half (which is one).
This intuitive bounding confirms that finding a common denominator is necessary for proper addition. When we convert these fractions to have a common denominator, 1/2 becomes 3/6 and 1/3 becomes 2/6. It is now clear that we can directly add the numerators yielding 5/6 as the sum.
For the provided question, finding the sum requires identifying the correct expression which uses a common denominator. Considering the options, we can discard the irrelevant parts and focus on option B being the correct expression by observing that the denominators all become 10, which allows for direct addition of the numerators, resulting in the sum of the fractions.