Math Problem Statement

A file that is 226 megabytes is being downloaded. If the download is 14.8% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.

Solution

To find how many megabytes have been downloaded:

  1. Start with the total file size, which is 226 megabytes.
  2. The percentage completed is 14.8%.

We calculate:

Downloaded megabytes=Total size×(Percentage completed100)\text{Downloaded megabytes} = \text{Total size} \times \left(\frac{\text{Percentage completed}}{100}\right)

Substitute the values:

Downloaded megabytes=226×14.8100=226×0.148=33.448\text{Downloaded megabytes} = 226 \times \frac{14.8}{100} = 226 \times 0.148 = 33.448

Round to the nearest tenth:

33.4megabytes33.4 \, \text{megabytes}

Final Answer:

33.4 megabytes have been downloaded.


Would you like further explanation or have other questions?

Related Questions:

  1. How do you calculate the percentage of a task completed if the downloaded size is known?
  2. What is the remaining size to be downloaded in this case?
  3. How would this calculation change if the file size was in gigabytes instead?
  4. What if the percentage was rounded to the nearest integer? How would the result change?
  5. Can you explain how to compute the download time if the download speed is given?

Tip:

When working with percentages, always ensure to convert them to decimals (e.g., 14.8% → 0.148) before performing calculations.

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Math Problem Analysis

Mathematical Concepts

Percentage
Decimal Conversion
Multiplication

Formulas

Downloaded megabytes = Total size × (Percentage completed ÷ 100)

Theorems

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Suitable Grade Level

Grades 5-7