2 Gavin spent 3 hours doing homework. He spent \( \frac{2}{5} \) of this time doing a book report. How much time did Gavin spend on his book report? \( \begin{array}{ll}\text { (A) } 2 \frac{3}{5} \text { hours } & \text { (C) } \frac{6}{15} \text { hour } \\ \text { (B) } 1 \frac{1}{5} \text { hours } & \text { (D) } \frac{2}{15} \text { hour }\end{array} \)

To find out how much time Gavin spent on his book report, we need to calculate \( \frac{2}{5} \) of the 3 hours he spent on homework. We can do this by multiplying: \[ \text{Time spent on book report} = 3 \times \frac{2}{5} = \frac{6}{5} \text{ hours} = 1 \frac{1}{5} \text{ hours} \] So, Gavin spent \( 1 \frac{1}{5} \) hours on his book report, which corresponds to option (B). Time to do some mental math! Remember, when you're working with fractions of a whole, converting between fractions and mixed numbers can help you visualize the answer better. Always double-check your calculations to avoid common pitfalls like misreading a fraction or misapplying a multiplication step. Lastly, if you want to dive deeper into similar problems, consider exploring resources that focus on fractions and word problems in mathematics. They can provide a wealth of practice problems and step-by-step solutions to sharpen your skills!