A teacher has $\frac{3}{4}$ of a notebook with 30 pages. How many pages does the whole notebook have?

Step-by-step solution

1. Let the total number of pages in the notebook be $y$.
2. Because $\frac{3}{4}$ of the notebook has 30 pages, write $\frac{3}{4}y=30$.
3. Solve for $y$ by multiplying both sides by $\frac{4}{3}$: $y=30\times \frac{4}{3}$.
4. Calculate $y=40$ pages. The whole notebook has 40 pages.

Concept tested: fraction of a whole

Published 10 October 2026 · How this solution was prepared and checked