Solve Mixed Number Addition: 5½ + 2⅗ Step-by-Step

You can add whole numbers separately, but the fractional parts need a common denominator first! Without it, $\frac{1}{2} + \frac{3}{5}$ can't be computed directly.

Multiply the whole number by the denominator, then add the numerator. For example: $5\frac{1}{2} = \frac{(5×2)+1}{2} = \frac{11}{2}$

Since 2 and 5 are both prime numbers, their LCD is simply their product: 2×5 = 10. This works whenever denominators share no common factors!

When your improper fraction has a numerator larger than the denominator, convert it back. Divide 81÷10 to get quotient 8 and remainder 1, making $8\frac{1}{10}$

While $\frac{81}{10}$ is mathematically correct, mixed numbers like $8\frac{1}{10}$ are usually preferred for final answers because they're easier to visualize and understand.

Take it one step at a time! Write out each conversion clearly: mixed→improper→common denominator→add→mixed. Don't rush—accuracy matters more than speed!