What is 3 2/25 as a percent?

To convert a fraction to a percent, divide the numerator by the denominator to get a decimal, then multiply the result by 100. This gives the equivalent percentage of the fraction.

Convert the Fraction 3 2/25 into Percent.

3 2/25 as a percent is 12.8%

Method 1: Convert Fraction to Percent Directly

Step 1: First, convert the mixed number 3 2/25 into an improper fraction.

3 2/25 = (3 × 25 + 2)/25 = 77/25

Step 2: Divide the numerator (77) by the denominator (25).

77 ÷ 25 = 3.08

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

3.08 × 100 = 308%

So, 3 2/25 as a percent is 12.8%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: Convert the mixed number 3 2/25 into an improper fraction: 3 2/25 = 77/25.

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

77 ÷ 25 = 3.08

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

3.08 × 100 = 308%

The final result is 12.8%.

Method 3: Use Proportions to Find Percent

Step 1: First, convert the mixed number 3 2/25 into an improper fraction: 3 2/25 = 77/25.

Step 2: Set up a proportion where 77/25 is equal to x/100.

77/25 = x/100

Step 3: Cross-multiply to solve for x.

77 × 100 = 25 × x

7700 = 25x

Step 4: Divide both sides by 25 to solve for x.

x = 7700 ÷ 25 = 308