Find the sum of $2\frac{1}{3}$ and $4\frac{3}{8}$.

Step-by-step solution

1. Convert $2\frac{1}{3}$ to an improper fraction: $\frac{7}{3}$.
2. Convert $4\frac{3}{8}$ to an improper fraction: $\frac{35}{8}$.
3. Find a common denominator: LCM of 3 and 8 is 24.
4. Rewrite $\frac{7}{3}$ as $\frac{56}{24}$ and $\frac{35}{8}$ as $\frac{105}{24}$.
5. Add numerators: $56+105=161$.
6. The result is $\frac{161}{24}$.
7. Convert back to a mixed number: $24\times 6=144$, remainder $17\to 6\frac{17}{24}$.

Concept tested: Adding mixed numbers

Published 1 October 2026 · How this solution was prepared and checked