Multiply the mixed number $3\frac{1}{4}$ by $\frac{7}{8}$ and express the answer as a mixed number.

Step-by-step solution

1. Convert the mixed number to an improper fraction: $3\frac{1}{4}=\frac{13}{4}$.
2. Multiply the fractions: $\frac{13}{4}\times \frac{7}{8}=\frac{13\times 7}{4\times 8}=\frac{91}{32}$.
3. Convert the improper fraction back to a mixed number. $\frac{91}{32}=2$ remainder $27$, so $=2\frac{27}{32}$.

Concept tested: Multiplying mixed numbers and fractions

Published 7 October 2026 · How this solution was prepared and checked