Convert the Fraction 1/3 into a Percentage: Step-by-Step

Question

Given the fraction 13 \frac{1}{3} convert it into percentages

Video Solution

Solution Steps

00:00 Convert fractions to percentages
00:04 To convert a fraction to a percentage, multiply the fraction by 100
00:14 Proceed to calculate
00:22 This is the solution

Step-by-Step Solution

To solve this problem, we'll convert the fraction 13 \frac{1}{3} into a percentage by following these steps:

  • Step 1: Identify the given fraction, which is 13 \frac{1}{3} .
  • Step 2: Use the formula for converting a fraction to a percentage: Percentage=(Fraction)×100%\text{Percentage} = \left( \text{Fraction} \right) \times 100\%.
  • Step 3: Multiply the fraction by 100: 13×100=1003\frac{1}{3} \times 100 = \frac{100}{3}.
  • Step 4: Simplify 1003\frac{100}{3}. Divide 100 by 3 to obtain the decimal form, which is approximately 33.33.
  • Step 5: Express this result as a percentage: 33.33%.

Therefore, the fraction 13 \frac{1}{3} converted to a percentage is 33.33%.

When comparing this solution to the given multiple-choice options, the correct choice is:

33.33%

Answer

33.33%