Question
s. Brock baked apple pies for her family. The boys ate \( 1 / 2 \) of a pie and the girls ate \( 1 / 6 \) of pie. How much more pie did the boys eat than the girls? rite your answer as a fraction or as a whole or mixed number.
Ask by Gross Daniels. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The boys ate \( \frac{1}{3} \) of a pie more than the girls.
Solution
To determine how much more pie the boys ate compared to the girls, follow these steps:
1. **Identify the amounts eaten:**
- **Boys:** \( \frac{1}{2} \) of a pie
- **Girls:** \( \frac{1}{6} \) of a pie
2. **Subtract the amount eaten by the girls from the amount eaten by the boys:**
\[
\frac{1}{2} - \frac{1}{6}
\]
3. **Find a common denominator for the fractions.** The least common denominator (LCD) of 2 and 6 is 6.
\[
\frac{1}{2} = \frac{3}{6} \quad \text{(multiplied numerator and denominator by 3)}
\]
\[
\frac{1}{6} \quad \text{(already has the denominator 6)}
\]
4. **Perform the subtraction:**
\[
\frac{3}{6} - \frac{1}{6} = \frac{2}{6}
\]
5. **Simplify the fraction:**
\[
\frac{2}{6} = \frac{1}{3}
\]
**Conclusion:**
The boys ate \( \frac{1}{3} \) of a pie more than the girls.
\(\boxed{\dfrac{1}{3}}\)
Reviewed and approved by the UpStudy tutoring team
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Explain 
Simplify this solution Mind Expander
To find out how much more pie the boys ate than the girls, let's subtract the amount the girls ate from the amount the boys ate. The boys ate \( \frac{1}{2} \) of a pie, and the girls ate \( \frac{1}{6} \) of a pie. First, find a common denominator for the fractions. The least common multiple of 2 and 6 is 6. So, convert \( \frac{1}{2} \) to a fraction with a denominator of 6: \[ \frac{1}{2} = \frac{3}{6} \] Now subtract \( \frac{1}{6} \) from \( \frac{3}{6} \): \[ \frac{3}{6} - \frac{1}{6} = \frac{2}{6} \] This can be simplified to \( \frac{1}{3} \). So, the boys ate \( \frac{1}{3} \) more pie than the girls.
