What is 6 3/80 as a percent?

Method 1: Convert Fraction to Percent Directly

Step 1: First, convert the mixed number to an improper fraction:
(6 × 80 + 3) / 80 = 483/80.

Step 2: Divide the numerator (483) by the denominator (80).

483 ÷ 80 = 6.0375

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

6.0375 × 100 = 603.75%

So, 6 3/80 as a percent is 603.75%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: First, convert the mixed number to an improper fraction:
(6 × 80 + 3) / 80 = 483/80.

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

483 ÷ 80 = 6.0375

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

6.0375 becomes 603.75.

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

The final result is 603.75%.

Method 3: Use Proportions to Find Percent

Step 1: Set up a proportion where 6 3/80 is equal to x/100.

483/80 = x/100

Step 2: Cross-multiply to solve for x.

483 × 100 = 80 × x

48300 = 80x

Step 3: Divide both sides by 80 to solve for x.

x = 48300 ÷ 80 = 603.75

So, 6 3/80 as a percent is 603.75%.