2. John had 60 marbles. He kept \( \frac{2}{5} \) of his marbles and gave the rest of the marbles equally to 6 friends. (a) What fraction of his marbles did each friend receive? (b) How many marbles did each friend receive?

Let's solve each part step by step. ### Given: - **Total marbles John has:** 60 - **Fraction John kept:** \( \frac{2}{5} \) - **Number of friends:** 6 ### (a) What fraction of his marbles did each friend receive? 1. **Determine the fraction of marbles John gave away:** John kept \( \frac{2}{5} \) of his marbles, so he gave away: \[ 1 - \frac{2}{5} = \frac{3}{5} \] 2. **Divide the given-away fraction equally among 6 friends:** Each friend receives: \[ \frac{3}{5} \div 6 = \frac{3}{5} \times \frac{1}{6} = \frac{3}{30} = \frac{1}{10} \] **Answer:** Each friend received \( \frac{1}{10} \) of John's marbles. ### (b) How many marbles did each friend receive? 1. **Calculate the number of marbles John gave away:** \[ \frac{3}{5} \times 60 = 36 \text{ marbles} \] 2. **Divide the 36 marbles equally among 6 friends:** \[ \frac{36}{6} = 6 \text{ marbles} \] **Answer:** Each friend received **6 marbles**. ### Summary: - **(a)** Each friend received \( \frac{1}{10} \) of John’s marbles. - **(b)** Each friend received 6 marbles.