1. The problem asks to convert 125 centimeters to 87.5 centimeters and 132 days to 125.4 days, which seems to imply finding the ratio or comparison between these quantities.
2. To compare or convert one quantity to another, we use the formula for ratio or proportion:
$$\text{Ratio} = \frac{\text{Value 1}}{\text{Value 2}}$$
3. For the first pair: 125 cm to 87.5 cm
$$\text{Ratio} = \frac{125}{87.5}$$
4. Simplify the fraction by dividing numerator and denominator by 12.5:
$$\frac{\cancel{125}^{10}}{\cancel{87.5}^{7}} = \frac{10}{7}$$
5. So, 125 cm is to 87.5 cm as 10 is to 7.
6. For the second pair: 132 days to 125.4 days
$$\text{Ratio} = \frac{132}{125.4}$$
7. Simplify by dividing numerator and denominator by 0.6:
$$\frac{\cancel{132}^{220}}{\cancel{125.4}^{209}} = \frac{220}{209}$$
8. So, 132 days is to 125.4 days as 220 is to 209.
Final answers:
- 125 cm to 87.5 cm ratio is $\frac{10}{7}$.
- 132 days to 125.4 days ratio is $\frac{220}{209}$.
Unit Ratios 897F59
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