Fraction Multiplication 48C89D

Let's solve this step by step! 🎉 1. First, look at the problem: $\frac{3}{5} \times \frac{2}{1 + \frac{6}{8}}$ 2. We need to solve the bottom part first: $1 + \frac{6}{8}$. 3. Imagine you have 1 whole cake 🍰 and then $\frac{6}{8}$ of another cake 🍰🍰🍰🍰🍰🍰🍰🍰 (8 pieces, 6 eaten). 4. $\frac{6}{8}$ is the same as $\frac{3}{4}$ after simplifying. 5. So, $1 + \frac{3}{4} = \frac{4}{4} + \frac{3}{4} = \frac{7}{4}$. 6. Now the problem is $\frac{3}{5} \times \frac{2}{\frac{7}{4}}$. 7. Dividing by a fraction means multiplying by its flip, so $\frac{2}{\frac{7}{4}} = 2 \times \frac{4}{7} = \frac{8}{7}$. 8. Now multiply: $\frac{3}{5} \times \frac{8}{7} = \frac{3 \times 8}{5 \times 7} = \frac{24}{35}$. **Great!** The answer is $\frac{24}{35}$. **Visual:** ➕ ➡️ Keep up the great work! 🌟