To convert a fraction to a percent, first convert it to an improper fraction, divide the numerator by the denominator to get a decimal, and then multiply the result by 100 to find the equivalent percentage.
Convert the Fraction 2 1/6 into Percent.
Method 1: Convert Fraction to Percent Directly
Step 1: Convert the mixed number 2 1/6 to an improper fraction.
2 × 6 + 1 = 13, so 2 1/6 = 13/6
Step 2: Divide the numerator (13) by the denominator (6).
13 ÷ 6 = 2.1667
Step 3: Multiply the result by 100 to convert to a percentage.
2.1667 × 100 = 216.67%
So, 2 1/6 as a percent is 216.67%.
Method 2: Convert Fraction to Decimal and Percent
Step 1: Convert the mixed number to an improper fraction: 2 1/6 = 13/6.
Step 2: Divide the numerator by the denominator.
13 ÷ 6 = 2.1667
Step 3: Move the decimal point two places to the right to get the percentage.
2.1667 becomes 216.67.
Step 4: Add a percent sign (%) to the result.
The final result is 216.67%.
Method 3: Use Proportions to Find Percent
Step 1: Set up a proportion where 13/6 is equal to x/100.
13/6 = x/100
Step 2: Cross-multiply to solve for x.
13 × 100 = 6 × x
1300 = 6x
Step 3: Divide both sides by 6 to solve for x.
x = 1300 ÷ 6 ≈ 216.67
So, 2 1/6 as a percent is 216.67%.
Fraction to Percent Conversion Table
Fraction | Percent |
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