Let's solve the problem step by step using the bar model and fraction concepts.
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Problem:
Sami has 12 balloons.
$\frac{2}{3}$ of them are green.
How many are green?
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Step 1: Understand the bar model
The bar is divided into
3 equal parts:
- 2 parts are shaded green.
- 1 part is not shaded (white).
This represents $\frac{2}{3}$ of the total being green.
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Step 2: Divide the total number of balloons into 3 equal parts
Total balloons = 12
We need to divide 12 into 3 equal parts:
$$
12 \div 3 = 4
$$
So, each part represents
4 balloons.
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Step 3: Find how many balloons are in 2 parts (green)
Since 2 parts are green:
$$
2 \times 4 = 8
$$
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✔ Answer:
8 balloons are green.
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Explanation:
- The bar model shows that $\frac{2}{3}$ of the total is green.
- We split 12 into 3 equal parts → each part is 4.
- 2 parts × 4 = 8 green balloons.
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✔ Final Answer: 8
Parent Tip: Review the logic above to help your child master the concept of models bar.