Solve Mixed Number Addition: 3½ + 1⅓ Step-by-Step

Because fractions represent parts of different-sized wholes! $\frac{1}{2}$ means 1 out of 2 equal parts, while $\frac{2}{6}$ means 2 out of 6 equal parts. You need the same-sized parts to add them correctly.

Look for the larger denominator first. If the smaller denominator divides evenly into it, that's your LCD! Here, 2 divides into 6, so $6$ is the LCD. Otherwise, multiply the denominators together.

Great question! If you get something like $4\frac{8}{6}$, convert the improper fraction: $\frac{8}{6} = 1\frac{2}{6}$, so your final answer becomes $5\frac{2}{6}$ or $5\frac{1}{3}$ simplified.

Yes! Always check if your fraction can be simplified. $\frac{5}{6}$ is already in lowest terms since 5 and 6 share no common factors, so $4\frac{5}{6}$ is our final answer.

Absolutely! That's another valid method. Convert $3\frac{1}{2} = \frac{7}{2}$ and $1\frac{2}{6} = \frac{8}{6}$, then add $\frac{21}{6} + \frac{8}{6} = \frac{29}{6} = 4\frac{5}{6}$. Use whichever method feels easier!