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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

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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.

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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!

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