Solve Mixed Number Addition: 7¾ + 3¼ Step-by-Step

The denominator tells you the size of each piece. When adding $\frac{2}{4} + \frac{1}{4}$, you're adding 2 fourths plus 1 fourth, which gives you 3 fourths, not 3 eighths!

You need to find a common denominator first! Convert both fractions so they have the same bottom number, then add the numerators just like this problem.

Yes! This makes it much easier and less confusing. Add $7 + 3 = 10$ first, then $\frac{2}{4} + \frac{1}{4} = \frac{3}{4}$, then combine: $10\frac{3}{4}$.

Great question! If you get something like $\frac{5}{4}$, convert it to $1\frac{1}{4}$ and add that 1 to your whole number part.

You can, but it's not necessary! Since both fractions have the same denominator, you can add them as-is. However, always check if your final answer can be simplified.