To find the change in height of the parasail, we need to compute the difference between the initial height and the final height.
- The initial height is \( \frac{1}{20} \) meters.
- The final height is \( \frac{1}{50} \) meters.
We need to find the change in height:
\[ \text{Change in height} = \text{Final height} - \text{Initial height} \] \[ \text{Change in height} = \frac{1}{50} - \frac{1}{20} \]
To subtract these fractions, we need a common denominator. The least common multiple of 50 and 20 is 100.
Now, convert each fraction:
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Convert \( \frac{1}{50} \): \[ \frac{1}{50} = \frac{1 \times 2}{50 \times 2} = \frac{2}{100} \]
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Convert \( \frac{1}{20} \): \[ \frac{1}{20} = \frac{1 \times 5}{20 \times 5} = \frac{5}{100} \]
Now we can subtract the two fractions: \[ \text{Change in height} = \frac{2}{100} - \frac{5}{100} = \frac{2 - 5}{100} = \frac{-3}{100} \]
This indicates that the height decreased by \( \frac{3}{100} \) meters.
The following response corresponds to the decrease:
- None of the options provided explicitly indicate a negative change, but the decrease is understood. Thus, the answer should be:
3/100 meter (indicating the height changed by this amount, although it represents a decrease).