Convert 20.207 into a fraction.
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Convert 20.207 into a fraction.
To convert the decimal 20.207 into a fraction, we will follow these steps:
Therefore, the solution to the problem is , and this matches the provided correct answer , indicating a typographical oversight in aligning the choices. However, based on decimal and fraction conversion, we conclude with the thorough explanation corresponding to the original decimal.
The final output, matching identifier with correction consideration: .
Write the following fraction as a decimal:
\( \frac{5}{100}= \)
Count the decimal places carefully! In 20.207, there are three digits after the decimal point (2, 0, 7). Three decimal places means thousandths, so the denominator is 1000.
Check if 207 and 1000 have common factors. Since 207 = 3² × 23 and 1000 = 2³ × 5³, they share no common factors, so is already in simplest form!
Trailing zeros do count as decimal places! 20.200 has three decimal places, so it becomes , which simplifies to .
Use this pattern: 1 decimal place = 10, 2 places = 100, 3 places = 1000. Each additional decimal place adds another zero to the denominator!
Yes! Convert the mixed number: . Both forms are correct!
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