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 1/3 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: First, convert the mixed number 3 1/3 into an improper fraction.
3 1/3 = (3 × 3 + 1) / 3 = 10/3
Step 2: Divide the numerator (10) by the denominator (3).
10 ÷ 3 = 3.3333
Step 3: Multiply the result by 100 to convert to a percentage.
3.3333 × 100 = 333.33%
So, 3 1/3 as a percent is 333.33%.
Method 2: Convert Mixed Number to Decimal and Percent
Step 1: First, convert the mixed number 3 1/3 into a decimal.
3 1/3 = 3 + 1/3 = 3.3333
Step 2: Multiply the decimal by 100 to convert to a percentage.
3.3333 × 100 = 333.33%
The final result is 333.33%.
Method 3: Use Proportions to Find Percent
Step 1: Convert the mixed number 3 1/3 into an improper fraction: 10/3.
Step 2: Set up a proportion where 10/3 is equal to x/100.
10/3 = x/100
Step 3: Cross-multiply to solve for x.
10 × 100 = 3 × x
1000 = 3x
Step 4: Divide both sides by 3 to solve for x.
x = 1000 ÷ 3 = 333.33
So, 3 1/3 as a percent is 333.33%.
Fraction to Percent Conversion Table
| Fraction | Percent |
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