52+61=
To solve the problem of adding and , we need to find a common denominator. We do this by multiplying the denominators: . This is the smallest common multiple of the two denominators and ensures that each fraction can be represented with a common base, allowing addition.
Let's convert each fraction to an equivalent fraction with the common denominator of 30:
Convert : Multiply both the numerator and the denominator by 6 to get .
Convert : Multiply both the numerator and the denominator by 5 to get .
Now, we add these equivalent fractions:
.
The resulting fraction, , is already in its simplest form because 17 is a prime number and does not share any common factors with 30 other than 1.
Thus, the sum of and is .
Upon reviewing the given choices, the correct and matching choice is:
Choice 2: