A pizza is divided into 8 equal slices. One person eats $\frac{3}{8}$ of the pizza. Another person eats $\frac{1}{4}$ of the pizza left after that. What fraction of the original pizza has been eaten in total?

Step-by-step solution

1. One person eats $\frac{3}{8}$ of the pizza.
2. Remaining pizza after first person: $1-\frac{3}{8}=\frac{5}{8}$.
3. Second person eats $\frac{1}{4}$ of the remaining: $\frac{1}{4}\times \frac{5}{8}=\frac{5}{32}$.
4. Total eaten: $\frac{3}{8}+\frac{5}{32}$.
5. Convert $\frac{3}{8}$ to $\frac{12}{32}$.
6. Add: $\frac{12}{32}+\frac{5}{32}=\frac{17}{32}$.

Concept tested: Adding fractions of a remaining quantity

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