What is 2 2/3 as a percent?

Method 1: Convert Fraction to Percent Directly

Step 1: Convert the fraction to an improper fraction.

2 2/3 = (2 × 3 + 2) / 3 = 8/3

Step 2: Divide the numerator (8) by the denominator (3).

8 ÷ 3 = 2.6667

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

2.6667 × 100 = 266.67%

So, 2 2/3 as a percent is 266.67%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: First, convert the fraction to an improper fraction as shown above.

2 2/3 = 8/3

Step 2: Divide the numerator by the denominator.

8 ÷ 3 = 2.6667

Step 3: Move the decimal point two places to the right to get the percentage.

2.6667 becomes 266.67.

Step 4: Add a percent sign (%) to the result.

The final result is 266.67%.

Method 3: Use Proportions to Find Percent

Step 1: Set up a proportion where 8/3 is equal to x/100.

8/3 = x/100

Step 2: Cross-multiply to solve for x.

8 × 100 = 3 × x

800 = 3x

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

x = 800 ÷ 3 = 266.67

So, 2 2/3 as a percent is 266.67%.