Questions: Express the fraction as a percent. Use bar notation, if necessary. 5 1/2 = %

Express the fraction as a percent. Use bar notation, if necessary. 5 1/2 = %
Transcript text: Express the fraction as a percent. Use bar notation, if necessary. \[ 5 \frac{1}{2}=\square \% \]
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Solution

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Solution Steps

Step 1: Convert the Mixed Number to an Improper Fraction

First, we need to convert the mixed number \(5 \frac{1}{2}\) into an improper fraction.

\[ 5 \frac{1}{2} = 5 + \frac{1}{2} = \frac{10}{2} + \frac{1}{2} = \frac{10 + 1}{2} = \frac{11}{2} \]

Step 2: Convert the Fraction to a Decimal

Next, we convert the improper fraction \(\frac{11}{2}\) to a decimal.

\[ \frac{11}{2} = 5.5 \]

Step 3: Convert the Decimal to a Percent

To convert the decimal \(5.5\) to a percent, we multiply by 100.

\[ 5.5 \times 100 = 550 \]

Final Answer

\[ \boxed{550\%} \]

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