Question
Which ratio is larger, \( 18: 5 \) or \( 72: 25 \)
Ask by Hills Coleman. in South Africa
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 18:5 \) is larger than \( 72:25 \).
Solution
To determine which ratio is larger between \( 18:5 \) and \( 72:25 \), we can convert each ratio to its decimal form by dividing the first number by the second.
1. **For \( 18:5 \):**
\[
\frac{18}{5} = 3.6
\]
2. **For \( 72:25 \):**
\[
\frac{72}{25} = 2.88
\]
**Comparison:**
\[
3.6 \ (from \ 18:5) \ > \ 2.88 \ (from \ 72:25)
\]
**Conclusion:**
The ratio \( 18:5 \) is larger than \( 72:25 \).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To determine which ratio is larger, we can convert each ratio to a decimal by dividing the numbers. For \( 18:5 \), dividing gives us \( 18 ÷ 5 = 3.6 \). For \( 72:25 \), dividing gives us \( 72 ÷ 25 = 2.88 \). Since \( 3.6 \) is greater than \( 2.88 \), the ratio \( 18:5 \) is larger than \( 72:25 \). Numbers aren’t just for calculations; they tell stories too! For example, the ratio \( 18:5 \) can be seen as a representation of a group of students—18 boys to 5 girls—depicting a lively classroom dynamic. Meanwhile, \( 72:25 \) could relate to a business's financial snapshot or a recipe's ingredient proportions. Ratios help us visualize relationships in various contexts!
