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 16/25 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the mixed number 2 16/25 to an improper fraction.
2 16/25 = (2 × 25 + 16)/25 = 66/25
Step 2: Divide the numerator (66) by the denominator (25).
66 ÷ 25 = 2.64
Step 3: Multiply the result by 100 to convert to a percentage.
2.64 × 100 = 264%
So, 2 16/25 as a percent is 264%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the mixed number 2 16/25 to a decimal.
2 16/25 = 66/25 = 2.64
Step 2: Move the decimal point two places to the right to get the percentage.
2.64 becomes 264.
Step 3: Add a percent sign (%) to the result.
The final result is 264%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 66/25 is equal to x/100.
66/25 = x/100
Step 2: Cross-multiply to solve for x.
66 × 100 = 25 × x
6600 = 25x
Step 3: Divide both sides by 25 to solve for x.
x = 6600 ÷ 25 = 264
So, 2 16/25 as a percent is 264%.
Fraction to Percent Conversion Table
Fraction | Percent |
---|