To convert a fraction to a percent, first convert the fraction to an improper fraction, then divide the numerator by the denominator to get a decimal, and finally multiply the result by 100. This gives the equivalent percentage of the fraction.
Convert the Fraction 66 2/3 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the fraction (66 2/3) to an improper fraction.
66 2/3 = (66 × 3 + 2)/3 = 200/3
Step 2: Divide the numerator (200) by the denominator (3).
200 ÷ 3 = 66.67
Step 3: Multiply the result by 100 to convert to a percentage.
66.67 × 100 = 6667%
So, 66 2/3 as a percent is 6667%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: Convert the fraction to an improper fraction.
66 2/3 = 200/3
Step 2: Divide the numerator by the denominator.
200 ÷ 3 = 66.67
Step 3: Move the decimal point two places to the right to get the percentage.
66.67 becomes 6667.
Step 4: Add a percent sign (%) to the result.
The final result is 6667%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 200/3 is equal to x/100.
200/3 = x/100
Step 2: Cross-multiply to solve for x.
200 × 100 = 3 × x
20000 = 3x
Step 3: Divide both sides by 3 to solve for x.
x = 20000 ÷ 3 ≈ 6667
So, 66 2/3 as a percent is approximately 6667%.
Fraction to Percent Conversion Table
| Fraction | Percent |
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