Question
A survey found that 13 out of 108 men and 32 out of 233 wamen consult traditional healers for head-related ailments. Express these findings as a common fraction and as a decimal. Which group had the greater fraction?
Ask by Harris Nguyen. in South Africa
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Women had a greater fraction of individuals consulting traditional healers for head-related ailments compared to men.
Solution
Let's analyze the survey findings for both men and women:
### **Men**
- **Fraction:** \( \frac{13}{108} \)
- **Decimal:** To convert \( \frac{13}{108} \) to a decimal:
\[
13 \div 108 \approx 0.12037
\]
### **Women**
- **Fraction:** \( \frac{32}{233} \)
- **Decimal:** To convert \( \frac{32}{233} \) to a decimal:
\[
32 \div 233 \approx 0.13734
\]
### **Comparison**
- **Men:** \( \frac{13}{108} \approx 0.12037 \)
- **Women:** \( \frac{32}{233} \approx 0.13734 \)
**Conclusion:**
Women had the greater fraction of individuals consulting traditional healers for head-related ailments compared to men.
### **Summary**
- **Men:** \( \frac{13}{108} \) or **0.120**
- **Women:** \( \frac{32}{233} \) or **0.137**
- **Greater Fraction:** **Women**
Answer:
Men consulted at a rate of 13⁄108 ≈ 0.120 and women at 32⁄233 ≈ 0.137. The women had the greater fraction.
Reviewed and approved by the UpStudy tutoring team
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The Deep Dive
To express the findings as common fractions: For men, the fraction is 13/108. For women, the fraction is 32/233. To compare these fractions, we can convert them to decimals. When you divide 13 by 108, you get approximately 0.1204 (12.04%), and dividing 32 by 233 gives you about 0.1376 (13.76%). Therefore, the group that had the greater fraction is the women, as 0.1376 is greater than 0.1204. In conclusion, women had a higher proportion of consulting traditional healers for head-related ailments!