What is 5 2/3 as a percent?

Method 1: Convert Fraction to Percent Directly

Step 1: Convert the mixed number to an improper fraction: (5 × 3 + 2)/3 = 17/3.

Step 2: Divide the numerator (17) by the denominator (3).

17 ÷ 3 = 5.67

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

5.67 × 100 = 566.67%

So, 5 2/3 as a percent is 566.67%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: Convert the mixed number to an improper fraction: (5 × 3 + 2)/3 = 17/3.

Step 2: First, convert the fraction to a decimal by dividing the numerator by the denominator.

17 ÷ 3 = 5.67

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

5.67 becomes 566.67.

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

The final result is 566.67%.

Method 3: Use Proportions to Find Percent

Step 1: Set up a proportion where 17/3 is equal to x/100.

17/3 = x/100

Step 2: Cross-multiply to solve for x.

17 × 100 = 3 × x

1700 = 3x

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

x = 1700 ÷ 3 = 566.67

So, 5 2/3 as a percent is 566.67%.