1. **State the problem:** We are given two square models: the first is divided into three horizontal parts with the top part white and two orange bands below; the second is divided into four vertical parts with the left part orange and three white bands to the right. We need to find the sum of these two models represented as fractions.
2. **Represent each model as a fraction:**
- The first model has 3 equal parts, with 2 orange parts. So the fraction representing the orange part is $\frac{2}{3}$.
- The second model has 4 equal parts, with 1 orange part. So the fraction representing the orange part is $\frac{1}{4}$.
3. **Add the fractions:**
We want to find $\frac{2}{3} + \frac{1}{4}$.
4. **Find a common denominator:**
The denominators are 3 and 4. The least common denominator (LCD) is 12.
5. **Convert fractions to have the LCD:**
$$\frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12}$$
$$\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}$$
6. **Add the fractions:**
$$\frac{8}{12} + \frac{3}{12} = \frac{8 + 3}{12} = \frac{11}{12}$$
7. **Final answer:** The sum of the orange parts of the two models is $\frac{11}{12}$.
This means if you combine the orange parts of both models, you get $\frac{11}{12}$ of a whole square.
Fraction Addition 4Ee474
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