What is 2 1/4 as a percent?

Method 1: Convert Fraction to Percent Directly

Step 1: First, convert the mixed number into an improper fraction.

2 1/4 = (2 × 4 + 1) / 4 = 9/4

Step 2: Divide the numerator (9) by the denominator (4).

9 ÷ 4 = 2.25

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

2.25 × 100 = 225%

So, 2 1/4 as a percent is 225%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: Convert the mixed number into an improper fraction: 2 1/4 = 9/4.

Step 2: Divide the numerator (9) by the denominator (4) to get a decimal.

9 ÷ 4 = 2.25

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

2.25 becomes 225.

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

The final result is 225%.

Method 3: Use Proportions to Find Percent

Step 1: Set up a proportion where 9/4 is equal to x/100.

9/4 = x/100

Step 2: Cross-multiply to solve for x.

9 × 100 = 4 × x

900 = 4x

Step 3: Divide both sides by 4 to solve for x.

x = 900 ÷ 4 = 225

So, 2 1/4 as a percent is 225%.