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 8 1/3 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the mixed number (8 1/3) to an improper fraction.
8 1/3 = (8 × 3 + 1) / 3 = 25/3
Step 2: Divide the numerator (25) by the denominator (3).
25 ÷ 3 = 8.3333
Step 3: Multiply the result by 100 to convert to a percentage.
8.3333 × 100 = 833.33%
So, 8 1/3 as a percent is 833.33%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: Convert the mixed number (8 1/3) to an improper fraction.
8 1/3 = 25/3
Step 2: Divide the numerator (25) by the denominator (3).
25 ÷ 3 = 8.3333
Step 3: Move the decimal point two places to the right to get the percentage.
8.3333 becomes 833.33.
Step 4: Add a percent sign (%) to the result.
The final result is 833.33%.
Method 3: Use Proportions to Find Percent
Step 1: Convert the mixed number (8 1/3) to an improper fraction.
8 1/3 = 25/3
Step 2: Set up a proportion where 25/3 is equal to x/100.
25/3 = x/100
Step 3: Cross-multiply to solve for x.
25 × 100 = 3 × x
2500 = 3x
Step 4: Divide both sides by 3 to solve for x.
x = 2500 ÷ 3 = 833.33
So, 8 1/3 as a percent is 833.33%.
Fraction to Percent Conversion Table
| Fraction | Percent |
|---|