Question
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12. A survey found that 13 out of 108 men and 32 out of 233 women 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 Bright Weston. in South Africa
Feb 03,2025

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Tutor-Verified Answer

Answer

Women had a greater fraction (\( \frac{32}{233} \approx 0.137 \)) compared to men (\( \frac{13}{108} \approx 0.120 \)) in consulting traditional healers for head-related ailments.

Solution

To analyze the survey results, let's break down the data for both men and women: ### **Men** - **Fraction:** \( \frac{13}{108} \) - **Decimal:** \[ \frac{13}{108} \approx 0.120 \] ### **Women** - **Fraction:** \( \frac{32}{233} \) - **Decimal:** \[ \frac{32}{233} \approx 0.137 \] ### **Comparison** - **Men:** \( \frac{13}{108} \approx 0.120 \) - **Women:** \( \frac{32}{233} \approx 0.137 \) **Conclusion:** Women had a greater fraction \( \left( \frac{32}{233} \right) \) compared to men \( \left( \frac{13}{108} \right) \) in consulting traditional healers for head-related ailments. **Summary:** - **Men:** \( \frac{13}{108} \) ≈ 0.120 - **Women:** \( \frac{32}{233} \) ≈ 0.137 Women had the greater fraction.

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The Deep Dive

In the case of men, the fraction of those who consult traditional healers is 13/108. When you divide 13 by 108, you get approximately 0.1204. For women, the fraction is 32/233. Dividing 32 by 233 gives you about 0.1375. When comparing the two, the women had a greater fraction of those consulting traditional healers, as 0.1375 (women) is larger than 0.1204 (men). So, the common fractions are 13/108 for men and 32/233 for women, with their approximate decimal forms being 0.1204 for men and 0.1375 for women.

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