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 16 2/3 into Percent.
Method 1: Convert Mixed Number to Percent Directly
Step 1: Convert the mixed number 16 2/3 to an improper fraction: 16 × 3 + 2 = 50/3.
Step 2: Divide the numerator (50) by the denominator (3).
50 ÷ 3 = 16.67
Step 3: Multiply the result by 100 to convert to a percentage.
16.67 × 100 = 166.67%
So, 16 2/3 as a percent is 166.67%.
Method 2: Convert Mixed Number to Decimal and Percent
Step 1: First, convert the mixed number to a decimal by dividing the numerator (2) by the denominator (3) and adding to the whole number (16).
16 + (2 ÷ 3) = 16 + 0.67 = 16.67
Step 2: Move the decimal point two places to the right to get the percentage.
16.67 becomes 1666.67.
Step 3: Add a percent sign (%) to the result.
The final result is 166.67%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 50/3 is equal to x/100.
50/3 = x/100
Step 2: Cross-multiply to solve for x.
50 × 100 = 3 × x
5000 = 3x
Step 3: Divide both sides by 3 to solve for x.
x = 5000 ÷ 3 ≈ 1666.67
So, 16 2/3 as a percent is approximately 166.67%.
Fraction to Percent Conversion Table
| Fraction | Percent |
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