What is 2 5/6 as a percent?

Method 1: Convert Fraction to Percent Directly

Step 1: Convert the mixed number to an improper fraction: \(2 \frac{5}{6} = \frac{2 \times 6 + 5}{6} = \frac{17}{6}\).

Step 2: Divide the numerator (17) by the denominator (6).

17 ÷ 6 ≈ 2.8333

Step 3: Multiply the result by 100 to convert to a percentage.

2.8333 × 100 ≈ 283.33%

So, \(2 \frac{5}{6}\) as a percent is approximately 283.33%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: First, convert the mixed number to a decimal: \(2 \frac{5}{6} = 2 + \frac{5}{6} ≈ 2.8333\).

Step 2: Move the decimal point two places to the right to get the percentage.

2.8333 becomes 283.33.

Step 3: Add a percent sign (%) to the result.

The final result is approximately 283.33%.

Method 3: Use Proportions to Find Percent

Step 1: Set up a proportion where the fraction \(2 \frac{5}{6} = \frac{17}{6}\) is equal to \(x/100\).

\( \frac{17}{6} = \frac{x}{100} \)

Step 2: Cross-multiply to solve for x.

17 × 100 = 6 × x

1700 = 6x

Step 3: Divide both sides by 6 to solve for x.

x = 1700 ÷ 6 ≈ 283.33

So, \(2 \frac{5}{6}\) as a percent is approximately 283.33%.