What is 1 9/100 as a percent?

Method 1: Convert Fraction to Percent Directly

Step 1: Convert the mixed number to an improper fraction: \(1 \frac{9}{100} = \frac{109}{100}\).

Step 2: Divide the numerator (109) by the denominator (100).

109 ÷ 100 = 1.09

Step 3: Multiply the result by 100 to convert to a percentage.

1.09 × 100 = 109%

So, 1 9/100 as a percent is 109%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: First, convert the mixed number to an improper fraction: \(1 \frac{9}{100} = \frac{109}{100}\).

Step 2: Divide the numerator by the denominator to get the decimal.

109 ÷ 100 = 1.09

Step 3: Move the decimal point two places to the right to get the percentage.

1.09 becomes 109.

Step 4: Add a percent sign (%) to the result.

The final result is 109%.

Method 3: Use Proportions to Find Percent

Step 1: Convert the mixed number to an improper fraction: \(1 \frac{9}{100} = \frac{109}{100}\).

Set up a proportion where \( \frac{109}{100} \) is equal to \( \frac{x}{100} \).

Step 2: Cross-multiply to solve for \( x \).

109 × 100 = 100 × x

10900 = 100x

Step 3: Divide both sides by 100 to solve for \( x \).

x = 10900 ÷ 100 = 109

So, 1 9/100 as a percent is 109%.