Which is greater, $\frac{4}{5}$ of $150$ or $\frac{3}{4}$ of $180$? State the larger amount and the difference between them.

Step-by-step solution

1. Calculate $\frac{4}{5}\times 150=120$.
2. Calculate $\frac{3}{4}\times 180=135$.
3. Compare: $135$ is larger than $120$.
4. Difference is $135-120=15$.
5. Thus $\frac{3}{4}$ of $180$ is greater by $15$.

Concept tested: Comparing two fractional quantities

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