Which decimal model has the same value as 3/5?
Understand the Problem
The question is asking which of the provided decimal models represents the fraction 3/5. The answer can be determined by visualizing how much of each model is shaded in relation to the total.
Answer
The models that represent \( \frac{3}{5} \) are A and B, both showing \( 0.6 \).
Answer for screen readers
The correct decimal model that represents ( \frac{3}{5} ) is Model A or Model B, as they both depict ( 0.6 ).
Steps to Solve
- Convert the Fraction to Decimal
First, convert the fraction ( \frac{3}{5} ) to decimal. To do this, divide 3 by 5. [ \frac{3}{5} = 0.6 ]
- Analyze Each Model
Next, visually analyze each of the decimal models (A, B, C, and D) to identify how much of each model is shaded compared to the total.
- Model A: Count the shaded squares. If 6 out of 10 total squares are shaded, it represents ( 0.6 ).
- Model B: Check the shading. If 6 out of 10 squares are shaded, it also represents ( 0.6 ).
- Model C: Determine the shaded part. If it shows less than 6 out of 10, it does not equate to ( 0.6 ).
- Model D: Evaluate the shaded area similarly.
- Compare Shading to ( 0.6 )
After identifying the shaded portions, compare them to the decimal ( 0.6 ).
- Select the Correct Model
Choose the model where the shaded area corresponds to ( 0.6 ).
The correct decimal model that represents ( \frac{3}{5} ) is Model A or Model B, as they both depict ( 0.6 ).
More Information
The fraction ( \frac{3}{5} ) indicates that for every 5 equal parts, 3 are shaded. This corresponds with ( 0.6 ), showing that 60% of the total area is filled.
Tips
- Confusing the fraction and decimal models. Always ensure to check the ratios carefully.
- Miscounting the shaded squares. Double-check the totals to avoid counting errors.
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