To convert a mixed fraction to a percent, first convert it to an improper fraction or decimal, then multiply by 100 for the percentage.
Convert the Fraction 3 2/3 into Percent.
Method 1: Convert Mixed Fraction to Percent Directly
Step 1: Convert the mixed fraction 3 2/3 to an improper fraction.
3 2/3 = (3 × 3 + 2) / 3 = 11/3
Step 2: Divide the numerator by the denominator.
11 ÷ 3 = 3.6667
Step 3: Multiply the result by 100 to get the percent.
3.6667 × 100 = 366.67%
So, 3 2/3 as a percent is 366.67%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: Convert 3 2/3 to a decimal by converting the fraction part.
2 ÷ 3 = 0.6667, so 3 + 0.6667 = 3.6667
Step 2: Multiply by 100 to get the percentage.
3.6667 × 100 = 366.67%
The result is 366.67%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion with 3 2/3 as x/100.
11/3 = x/100
Step 2: Cross-multiply to solve for x.
11 × 100 = 3 × x
1100 = 3x
Step 3: Divide by 3.
x = 1100 ÷ 3 = 366.67
So, 3 2/3 as a percent is 366.67%.
Fraction to Percent Conversion Table
| Fraction | Percent |
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