What fraction of this circle is shaded orange or purple? Give your answer in its simplest form.
Understand the Problem
The question is asking for the sum of the fractions representing the shaded areas of orange and purple in the circle, and to express the answer in its simplest form.
Answer
The fraction of the circle that is shaded orange or purple is $\frac{5}{16}$.
Answer for screen readers
The fraction of the circle that is shaded orange or purple is $\frac{5}{16}$.
Steps to Solve
-
Identify the fractions for orange and purple
From the pie chart, the fractions shaded are:
- Orange: $\frac{1}{8}$
- Purple: $\frac{3}{16}$
-
Find a common denominator
The common denominator between 8 and 16 is 16. We rewrite $\frac{1}{8}$ with a denominator of 16: $$ \frac{1}{8} = \frac{1 \times 2}{8 \times 2} = \frac{2}{16} $$
-
Add the fractions together
Now, we can add both fractions: $$ \frac{2}{16} + \frac{3}{16} = \frac{2 + 3}{16} = \frac{5}{16} $$
-
Simplify if necessary
The fraction $\frac{5}{16}$ is already in its simplest form.
The fraction of the circle that is shaded orange or purple is $\frac{5}{16}$.
More Information
This problem involves adding fractions and finding a common denominator. Both orange and purple sections of the circle indicate a portion of the whole, expressed in fraction form.
Tips
- Not finding a common denominator before adding fractions.
- Forgetting to simplify the final answer if possible.
AI-generated content may contain errors. Please verify critical information
