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 1/3 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: First, convert the mixed number to an improper fraction.
2 1/3 = 7/3
Step 2: Divide the numerator (7) by the denominator (3).
7 ÷ 3 = 2.3333…
Step 3: Multiply the result by 100 to convert to a percentage.
2.3333 × 100 = 233.33%
So, 2 1/3 as a percent is 233.33%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the mixed number 2 1/3 into an improper fraction (7/3).
Step 2: Divide 7 by 3 to get the decimal form.
7 ÷ 3 = 2.3333…
Step 3: Move the decimal point two places to the right to get the percentage.
2.3333 becomes 233.33.
Step 4: Add a percent sign (%) to the result.
The final result is 233.33%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 7/3 is equal to x/100.
7/3 = x/100
Step 2: Cross-multiply to solve for x.
7 × 100 = 3 × x
700 = 3x
Step 3: Divide both sides by 3 to solve for x.
x = 700 ÷ 3 = 233.33
So, 2 1/3 as a percent is 233.33%.
Fraction to Percent Conversion Table
| Fraction | Percent |
|---|