Questions: Change the fraction 100/105 to a percentage. Round your answer to the nearest hundredth and include the percent sign.

Change the fraction 100/105 to a percentage. Round your answer to the nearest hundredth and include the percent sign.
Transcript text: 4 20 points Objective 1: Change fractions to percents Change the fraction $\frac{100}{105}$ to a percentage. Round your answer to the nearest hundredth and include the percent sign. type your answer...
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Solution

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Solution Steps

To convert a fraction to a percentage, divide the numerator by the denominator to get a decimal. Then, multiply the decimal by 100 to convert it to a percentage. Finally, round the result to the nearest hundredth and append the percent sign.

Step 1: Convert the Fraction to a Decimal

To convert the fraction \(\frac{100}{105}\) to a decimal, divide the numerator by the denominator: \[ \frac{100}{105} \approx 0.9524 \]

Step 2: Convert the Decimal to a Percentage

Multiply the decimal by 100 to convert it to a percentage: \[ 0.9524 \times 100 = 95.24 \]

Step 3: Round the Percentage

The percentage is already rounded to the nearest hundredth, which is 95.24.

Final Answer

The fraction \(\frac{100}{105}\) as a percentage is \(\boxed{95.24\%}\).

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