Solve the following exercise:
Solve the following exercise:
To solve the addition of fractions , we must first find a common denominator.
Step 1: Find the Least Common Multiple (LCM) of the denominators, 10 and 3. By multiplying these denominators, the LCM is .
Step 2: Rewrite each fraction with the common denominator of 30:
- Convert to an equivalent fraction with a denominator of 30. Multiply both numerator and denominator by 3:
- Convert to an equivalent fraction with a denominator of 30. Multiply both numerator and denominator by 10:
Step 3: Add the equivalent fractions:
Step 4: Simplify the resulting fraction. Since 13 is a prime number and does not divide 30, is already in its simplest form.
Thus, the sum of and is .
The correct answer is , which corresponds to choice 4.