The problem asks us to identify which strip model represents 75%. Each strip model is divided into sections, and we need to determine which model has 75% of its sections shaded.

ArithmeticFractionsPercentagesRatiosProportionsPercentage Conversion
2025/4/18

1. Problem Description

The problem asks us to identify which strip model represents 75%. Each strip model is divided into sections, and we need to determine which model has 75% of its sections shaded.

2. Solution Steps

First, let's analyze the first strip model. It has 8 sections in total. 6 sections are shaded.
The fraction represented by this model is 68\frac{6}{8}.
To convert the fraction to a percentage, we can divide 6 by 8 and then multiply by 100:
68=0.75\frac{6}{8} = 0.75
0.75100=750.75 * 100 = 75%
So, the first model represents 75%.
Let's analyze the second strip model. It has 5 sections in total. 3 sections are shaded.
The fraction represented by this model is 35\frac{3}{5}.
To convert the fraction to a percentage, we can divide 3 by 5 and then multiply by 100:
35=0.6\frac{3}{5} = 0.6
0.6100=600.6 * 100 = 60%
So, the second model represents 60%.
Let's analyze the third strip model. It has 6 sections in total. 4 sections are shaded.
The fraction represented by this model is 46\frac{4}{6}.
To convert the fraction to a percentage, we can divide 4 by 6 and then multiply by 100:
46=230.6667\frac{4}{6} = \frac{2}{3} \approx 0.6667
0.6667100=66.670.6667 * 100 = 66.67%
So, the third model represents approximately 66.67%.
The first model represents 75%.

3. Final Answer

The first model shows 75%.

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