What is 1 13/20 as a percent?

Method 1: Convert Fraction to Percent Directly

Step 1: Convert the mixed number to an improper fraction: (1 × 20 + 13)/20 = 33/20.

Step 2: Divide the numerator (33) by the denominator (20).

33 ÷ 20 = 1.65

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

1.65 × 100 = 165%

So, 1 13/20 as a percent is 165%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: First, convert the mixed number to an improper fraction: (1 × 20 + 13)/20 = 33/20.

Step 2: Convert to decimal by dividing the numerator by the denominator.

33 ÷ 20 = 1.65

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

1.65 becomes 165.

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

The final result is 165%.

Method 3: Use Proportions to Find Percent

Step 1: Set up a proportion where 33/20 is equal to x/100.

33/20 = x/100

Step 2: Cross-multiply to solve for x.

33 × 100 = 20 × x

3300 = 20x

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

x = 3300 ÷ 20 = 165

So, 1 13/20 as a percent is 165%.