What is 6 1/4 as a percent?

Method 1: Convert Fraction to Percent Directly

Step 1: First, convert the mixed number to an improper fraction:
(6 × 4 + 1) / 4 = 25/4.

Step 2: Divide the numerator (25) by the denominator (4).

25 ÷ 4 = 6.25

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

6.25 × 100 = 625%

So, 6 1/4 as a percent is 625%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: First, convert the mixed number to an improper fraction:
(6 × 4 + 1) / 4 = 25/4.

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

25 ÷ 4 = 6.25

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

6.25 becomes 625.

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

The final result is 625%.

Method 3: Use Proportions to Find Percent

Step 1: Set up a proportion where 6 1/4 is equal to x/100.

25/4 = x/100

Step 2: Cross-multiply to solve for x.

25 × 100 = 4 × x

2500 = 4x

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

x = 2500 ÷ 4 = 625

So, 6 1/4 as a percent is 625%.