What is 2 1/6 as a percent?

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.

2 1/6 as a percent is 216.67%

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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