Question
Select Proportional or Not Proportional to correctly classify the pair of ratios.
Proportional Not Proportional
1.23 and 1.84.5
Proportional Not Proportional
1.23 and 1.84.5
Answers
GPT-4o mini
To determine whether the ratios 1.23 and 1.84.5 are proportional, we need to compare them in terms of their equivalents.
When interpreting the ratio 1.84.5, it's unclear whether it's meant to be read as a decimal or as separate values (like 1.84 and 0.05). However, if we assume it's meant to be read as one ratio (which could potentially be 184.5), then the comparison can be made as follows:
1. **Convert both to fractions for easier comparison** (if necessary):
- 1.23 can be written as 1.23/1.
- 1.84.5 (assuming this represents 184.5) can be written as 184.5/1.
2. **Cross-multiply or compare the ratios**:
- If considering as fractional proportions, we should look to compare them:
- \( 1.23 = \frac{1.23}{1} \)
- \( 184.5 = \frac{184.5}{1} \)
The two ratios cannot directly relate one to the other in a proportional way since \( 1.23 \) is not equivalent to \( 184.5 \) when examined under a similar fraction.
Conclusively, if both were treated under context where they're supposed to relate directly to each other, they do not simplify down to a common or multiple ratio.
Thus, the correct classification is **Not Proportional**.
When interpreting the ratio 1.84.5, it's unclear whether it's meant to be read as a decimal or as separate values (like 1.84 and 0.05). However, if we assume it's meant to be read as one ratio (which could potentially be 184.5), then the comparison can be made as follows:
1. **Convert both to fractions for easier comparison** (if necessary):
- 1.23 can be written as 1.23/1.
- 1.84.5 (assuming this represents 184.5) can be written as 184.5/1.
2. **Cross-multiply or compare the ratios**:
- If considering as fractional proportions, we should look to compare them:
- \( 1.23 = \frac{1.23}{1} \)
- \( 184.5 = \frac{184.5}{1} \)
The two ratios cannot directly relate one to the other in a proportional way since \( 1.23 \) is not equivalent to \( 184.5 \) when examined under a similar fraction.
Conclusively, if both were treated under context where they're supposed to relate directly to each other, they do not simplify down to a common or multiple ratio.
Thus, the correct classification is **Not Proportional**.