What is 2 9/20 as a percent?

Method 1: Convert Fraction to Percent Directly

Step 1: Convert the fraction \(2 \frac{9}{20}\) to an improper fraction.

2 9/20 = (2 × 20 + 9) / 20 = 49/20

Step 2: Divide the numerator (49) by the denominator (20).

49 ÷ 20 = 2.45

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

2.45 × 100 = 245%

So, 2 9/20 as a percent is 245%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: Convert the fraction to a decimal by first converting to an improper fraction.

2 9/20 = 49/20 = 2.45

Step 2: Move the decimal point two places to the right to get the percentage.

2.45 becomes 245.

Step 3: Add a percent sign (%) to the result.

The final result is 245%.

Method 3: Use Proportions to Find Percent

Step 1: Set up a proportion where \(49/20\) is equal to \(x/100\).

49/20 = x/100

Step 2: Cross-multiply to solve for x.

49 × 100 = 20 × x

4900 = 20x

Step 3: Divide both sides by 20 to solve for x.

x = 4900 ÷ 20 = 245

So, 2 9/20 as a percent is 245%.