What is 3 1/20 as a percent?

Method 1: Convert Fraction to Percent Directly

Step 1: Convert 3 1/20 to an improper fraction: (3 × 20 + 1) / 20 = 61/20.

Step 2: Divide the numerator (61) by the denominator (20).

61 ÷ 20 = 3.05

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

3.05 × 100 = 305%

So, 3 1/20 as a percent is 305%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: First, convert the fraction to a decimal by dividing the numerator by the denominator.

61 ÷ 20 = 3.05

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

3.05 becomes 305.

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

The final result is 305%.

Method 3: Use Proportions to Find Percent

Step 1: Set up a proportion where 61/20 is equal to x/100.

61/20 = x/100

Step 2: Cross-multiply to solve for x.

61 × 100 = 20 × x

6100 = 20x

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

x = 6100 ÷ 20 = 305

So, 3 1/20 as a percent is 305%.