Question
There are a dozen eggs in a bask or. 4 are white. The rest are brown. Tell what fraction of the eggs are brown. Then write the fraction in simplest form.
Ask by Graham Whittaker. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(\frac{2}{3}\) of the eggs are brown.
Solution
Sure, let's solve the problem step by step.
1. **Total number of eggs:** There are **12** eggs in the basket.
2. **Number of white eggs:** **4** eggs are white.
3. **Number of brown eggs:**
To find the number of brown eggs, subtract the number of white eggs from the total number of eggs:
\[
12 \text{ (total eggs)} - 4 \text{ (white eggs)} = 8 \text{ (brown eggs)}
\]
4. **Fraction of eggs that are brown:**
The fraction is the number of brown eggs divided by the total number of eggs:
\[
\frac{8}{12}
\]
5. **Simplifying the fraction:**
To simplify \(\frac{8}{12}\), find the greatest common divisor (GCD) of 8 and 12, which is 4. Then, divide both the numerator and the denominator by 4:
\[
\frac{8 \div 4}{12 \div 4} = \frac{2}{3}
\]
**Final Answer:**
- **Fraction of brown eggs:** \(\frac{8}{12}\)
- **Simplest form:** \(\frac{2}{3}\)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
In a dozen eggs, there are 12 eggs total, and since 4 are white, that leaves 8 brown eggs. To find the fraction of the eggs that are brown, we can express it as 8 brown eggs out of 12 total eggs, resulting in the fraction \( \frac{8}{12} \). Now, let's simplify it! Both 8 and 12 can be divided by 4, which gives us \( \frac{2}{3} \). So, the simplest form of the fraction of brown eggs is \( \frac{2}{3} \).
