1. **State the problem:** We know that three-fifths of the Grade 8 class are in the band. (a) On Tuesday, only one-third of these band students went to band practice. We want to find what fraction of the whole class went to band practice on Tuesday. 2. **Formula and explanation:** To find the fraction of the class that went to band practice, multiply the fraction of the class in the band by the fraction of band students who attended practice. 3. **Calculate the fraction:** Fraction in band = $\frac{3}{5}$ Fraction of band students who went to practice = $\frac{1}{3}$ Multiply these fractions: $$\frac{3}{5} \times \frac{1}{3} = \frac{3 \times 1}{5 \times 3} = \frac{3}{15} = \frac{1}{5}$$ So, $\frac{1}{5}$ of the whole class went to band practice on Tuesday. 4. **Answer for part (a):** The fraction of the class that went to band practice on Tuesday is $\frac{1}{5}$. 5. **Part (b) question:** How many students might be in the class? How do you know? Since the problem does not give the total number of students, we can only say the class size must be a number divisible by 5 to make the fractions work nicely (because the band is $\frac{3}{5}$ of the class, so total students must be divisible by 5). For example, if the class has 20 students: - Number in band = $\frac{3}{5} \times 20 = 12$ - Number who went to practice = $\frac{1}{3} \times 12 = 4$ So the class size could be any multiple of 5. **Final answers:** (a) $\frac{1}{5}$ of the class went to band practice on Tuesday. (b) The class size could be any multiple of 5 because the fractions require the total number of students to be divisible by 5.