Let's solve $0.6 \times \frac{2}{7} + \frac{4}{5}$ step by step! 🎉
1. First, change $0.6$ to a fraction: $0.6 = \frac{6}{10}$ which can be simplified to $\frac{3}{5}$. 🍎🍎🍎🍎🍎
2. Now multiply $\frac{3}{5} \times \frac{2}{7}$:
**Box 1:**
Group 1:
🍎 🍎 🍎
(3/5)
➕
**Box 2:**
🍎 🍎 🍎
(3/5)
Group 2:
🍌 🍌
(2/7)
=
**Result:**
🍌 🍌
(2/7)
🍎 🍎 🍎 🍌 🍌
(\frac{3 \times 2}{5 \times 7} = \frac{6}{35})
3. Now add $\frac{6}{35} + \frac{4}{5}$.
4. To add, make the denominators the same. $5$ and $35$, we can change $\frac{4}{5}$ to $\frac{28}{35}$ because $4 \times 7 = 28$ and $5 \times 7 = 35$. 🍪🍪🍪🍪🍪🍪🍪🍪🍪🍪🍪🍪🍪🍪
5. Add the fractions: $\frac{6}{35} + \frac{28}{35} = \frac{34}{35}$.
**Final answer:**
(\frac{3 \times 2}{5 \times 7} = \frac{6}{35})
🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪
(\frac{34}{35})
Great job! You multiplied and added fractions perfectly! 🎯(\frac{34}{35})