Question
Finding a percentage of a total amount: Real-world... A file that is 272 megabytes is being downloaded. If the download is \( 15.3 \% \) complete, how many megab downloaded? Round your answer to the nearest tenth. \( \square \) megabytes
Ask by Hampton Griffin. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
41.6 megabytes have been downloaded.
Solution
1. We are given that the file size is \(272\) megabytes and the download is \(15.3\%\) complete.
2. Convert the percentage to a decimal by dividing by \(100\):
\[
15.3\% = \frac{15.3}{100} = 0.153
\]
3. Multiply the decimal by the total file size to find the number of megabytes downloaded:
\[
0.153 \times 272 = 41.616
\]
4. Round the result to the nearest tenth:
\[
41.616 \approx 41.6
\]
Thus, \( \boxed{41.6} \) megabytes have been downloaded.
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Simplify this solution The Deep Dive
When downloading files, understanding percentages can help you gauge how much data you’ve received. In this case, if your file is 272 megabytes and 15.3% is already downloaded, you're essentially calculating a portion of the total file size. To find how many megabytes have been downloaded, multiply 272 by 0.153 (which is 15.3% expressed as a decimal), giving you approximately 41.6 megabytes. So, you’ve got about \( 41.6 \) megabytes downloaded so far! This knowledge not only helps in tracking downloads but is also handy when managing data limits on your devices.
