If $\frac{4}{9}$ of a bag contains 8 kg of rice, how many kg of rice are there in the whole bag?

Step-by-step solution

1. Let the whole amount of rice be $x$ kg.
2. Set up the equation $\frac{4}{9}x=8$ because $\frac{4}{9}$ of $x$ equals 8 kg.
3. Multiply both sides by $\frac{9}{4}$ to isolate $x$; $x=8\times \frac{9}{4}$.
4. Compute $x=18$ kg. The whole bag contains 18 kg of rice.

Concept tested: fraction of a whole

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