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 33 1/3 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the mixed number to an improper fraction. For 33 1/3, it becomes 100/3.
Step 2: Divide the numerator (100) by the denominator (3).
100 ÷ 3 = 33.3333
Step 3: Multiply the result by 100 to convert to a percentage.
33.3333 × 100 = 33.33%
So, 33 1/3 as a percent is 33.33%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the fraction (100/3) to a decimal by dividing the numerator by the denominator.
100 ÷ 3 = 33.3333
Step 2: Move the decimal point two places to the right to get the percentage.
33.3333 becomes 33.33.
Step 3: Add a percent sign (%) to the result.
The final result is 33.33%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 100/3 is equal to x/100.
100/3 = x/100
Step 2: Cross-multiply to solve for x.
100 × 100 = 3 × x
10000 = 3x
Step 3: Divide both sides by 3 to solve for x.
x = 10000 ÷ 3 = 3333.33
So, 33 1/3 as a percent is 33.33%.
Fraction to Percent Conversion Table
| Fraction | Percent |
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