Which fraction is equivalent to the shaded decimal model?
Understand the Problem
The question is asking to identify which fraction corresponds to the shaded part of the pie model that illustrates the distance Nell ran. The shaded model represents a fraction of a whole, and we need to select the correct equivalent fraction from the given options.
Answer
The equivalent fraction is $\frac{1}{5}$.
Answer for screen readers
The equivalent fraction for the shaded part of the pie model is $\frac{1}{5}$.
Steps to Solve
- Identify the Total Parts and Shaded Parts
First, we need to count the total number of sections in the pie chart and the number of shaded sections. The pie chart is divided into 10 equal sections.
- Count Shaded Sections
Next, we find how many of these sections are shaded. In this model, there are 2 shaded sections.
- Write the Fraction
Now we can express the shaded part as a fraction of the whole pie. The fraction of the shaded area is given by: $$ \text{Fraction} = \frac{\text{Shaded Parts}}{\text{Total Parts}} = \frac{2}{10} $$
- Simplify the Fraction
Next, we simplify the fraction if possible. Both the numerator and the denominator can be divided by 2: $$ \frac{2}{10} = \frac{1}{5} $$
- Match with Options
Finally, we compare this simplified fraction with the choices provided to identify the correct answer.
The equivalent fraction for the shaded part of the pie model is $\frac{1}{5}$.
More Information
The shaded portion of the pie chart represents a fraction of the whole. Here, $\frac{2}{10}$ simplifies to $\frac{1}{5}$, indicating that 1 out of 5 equal sections is shaded.
Tips
- Not Simplifying Fractions: Sometimes, students may overlook the importance of simplifying fractions to their lowest terms. Always check for simplification.
- Miscounting Sections: Ensure to accurately count both shaded and total sections. Verify your counts before proceeding with calculations.
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