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 6 2/3 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the mixed number 6 2/3 to an improper fraction: (6 * 3 + 2) / 3 = 20/3.
Step 2: Divide the numerator (20) by the denominator (3).
20 ÷ 3 = 6.67
Step 3: Multiply the result by 100 to convert to a percentage.
6.67 × 100 = 666.67%
So, 6 2/3 as a percent is approximately 666.67%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: First, convert the mixed number 6 2/3 to an improper fraction: (6 * 3 + 2) / 3 = 20/3.
20 ÷ 3 = 6.67
Step 2: Move the decimal point two places to the right to get the percentage.
6.67 becomes 666.67.
Step 3: Add a percent sign (%) to the result.
The final result is approximately 666.67%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 20/3 is equal to x/100.
20/3 = x/100
Step 2: Cross-multiply to solve for x.
20 × 100 = 3 × x
2000 = 3x
Step 3: Divide both sides by 3 to solve for x.
x = 2000 ÷ 3 ≈ 666.67
So, 6 2/3 as a percent is approximately 666.67%.
Fraction to Percent Conversion Table
| Fraction | Percent |
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