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 1/4 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the number to an improper fraction. 3 1/4 = 13/4.
Step 2: Divide the numerator (13) by the denominator (4).
13 ÷ 4 = 3.25
Step 3: Multiply the result by 100 to convert to a percentage.
3.25 × 100 = 325%
So, 3 1/4 as a percent is 325%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the fraction to a decimal by dividing the numerator by the denominator.
13 ÷ 4 = 3.25
Step 2: Move the decimal point two places to the right to get the percentage.
3.25 becomes 325.
Step 3: Add a percent sign (%) to the result.
The final result is 325%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 13/4 is equal to x/100.
13/4 = x/100
Step 2: Cross-multiply to solve for x.
13 × 100 = 4 × x
1300 = 4x
Step 3: Divide both sides by 4 to solve for x.
x = 1300 ÷ 4 = 325
So, 3 1/4 as a percent is 325%.
Fraction to Percent Conversion Table
Fraction | Percent |
---|