What is 2 1/5 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 2 1/5 into Percent.

2 1/5 as a percent is 220%

Method 1: Convert Fraction to Percent Directly

Step 1: Convert the mixed number to an improper fraction: 2 1/5 = 11/5.

Step 2: Divide the numerator (11) by the denominator (5).

11 ÷ 5 = 2.2

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

2.2 × 100 = 220%

So, 2 1/5 as a percent is 220%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: Convert the mixed number to a decimal by first converting the fraction 1/5 to decimal (1 ÷ 5 = 0.2), then adding it to 2.

2 + 0.2 = 2.2

Step 2: Multiply the result by 100 to get the percentage.

2.2 × 100 = 220%

The final result is 220%.

Method 3: Use Proportions to Find Percent

Step 1: Convert the mixed number 2 1/5 to an improper fraction: 2 1/5 = 11/5.

11/5 = x/100

Step 2: Cross-multiply to solve for x.

11 × 100 = 5 × x

1100 = 5x

Step 3: Divide both sides by 5 to solve for x.

x = 1100 ÷ 5 = 220