Write each percent as a decimal. 5 1/2%

Verified step by step guidance

1. Understand that to convert a percent to a decimal, you divide the percent value by 100.
2. First, convert the mixed number percent 5 1/2% to an improper fraction or decimal. 5 1/2% can be written as \(5 + \frac{1}{2} = \frac{10}{2} + \frac{1}{2} = \frac{11}{2}\)%.
3. Express the percent as a fraction: \(\frac{11}{2}\%\) means \(\frac{11}{2}\) per 100, or \(\frac{11}{2} \times \frac{1}{100}\).
4. Multiply the fractions: \(\frac{11}{2} \times \frac{1}{100} = \frac{11}{200}\).
5. Convert the fraction \(\frac{11}{200}\) to a decimal by performing the division \(11 \div 200\).

Key Concepts

Understanding Percentages

A percentage represents a part out of 100. It is a way to express ratios or fractions with a denominator of 100. For example, 5% means 5 out of 100, or 5/100.

Converting Mixed Numbers to Improper Fractions

A mixed number combines a whole number and a fraction, such as 5 1/2. To work with it mathematically, convert it to an improper fraction by multiplying the whole number by the denominator and adding the numerator.

Converting Percent to Decimal

To convert a percent to a decimal, divide the percentage value by 100. For example, 5% becomes 0.05. This process applies similarly to fractional percentages once converted to a single numerical value.