Questions: 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.
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Solution
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 \(\boxed{95.24\%}\).