The problem asks to identify which strip model represents 40%. Each strip model is divided into 5 equal parts.

ArithmeticPercentagesFractionsEquivalent FractionsProportions
2025/4/18

1. Problem Description

The problem asks to identify which strip model represents 40%. Each strip model is divided into 5 equal parts.

2. Solution Steps

To find the model that represents 40%, we need to determine how many parts out of 5 should be shaded.
First, we can convert 40% to a fraction:
40%=4010040\% = \frac{40}{100}
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 20:
40100=40÷20100÷20=25\frac{40}{100} = \frac{40 \div 20}{100 \div 20} = \frac{2}{5}
So, 40% is equivalent to 25\frac{2}{5}.
Now, we examine each strip model:
- The first strip model has 2 out of 5 parts shaded.
- The second strip model has 1 out of 5 parts shaded.
- The third strip model has 1 out of 5 parts shaded.
Since 25\frac{2}{5} of the strip must be shaded to represent 40%, the first strip model shows 40%.

3. Final Answer

The first model shows 40%.

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