Solve the following exercise:
31+42=?
To solve this problem, let's follow these steps:
- Step 1: Simplify the fractions if possible.
- Step 2: Identify the common denominator.
- Step 3: Convert each fraction to have this common denominator.
- Step 4: Add the fractions.
- Step 5: Simplify the result, if necessary.
Step 1: Simplify 42. It simplifies to 21.
Step 2: The denominators are now 3 and 2. Find the least common multiple of 3 and 2, which is 6.
Step 3: Convert each fraction to have the common denominator of 6:
31=3×21×2=62
21=2×31×3=63
Step 4: Add the fractions:
62+63=62+3=65
Step 5: The fraction 65 is already in its simplest form.
Therefore, the solution to the problem is 65.