Convert Fraction to Percentage: Solving 8/27 as a Percent

Question

Write the fraction 827 \frac{8}{27} as a percentage

Video Solution

Solution Steps

00:00 Convert fractions to percentages
00:05 Multiply the fraction by 100 to convert to a percentage
00:10 Move the multiplication to the numerator
00:20 This is the solution

Step-by-Step Solution

To solve this problem, we'll convert the fraction 827\frac{8}{27} to a percentage using the following approach:

  • Step 1: Recall that to convert a fraction to a percentage, we multiply it by 100.
  • Step 2: Calculate the value of 827×100\frac{8}{27} \times 100.
  • Step 3: Simplify the result to obtain the equivalent percentage.

Let's execute these steps:

Step 1: The given fraction is 827\frac{8}{27}.

Step 2: We multiply this fraction by 100 to convert it to a percentage:
827×100=8×10027=80027\frac{8}{27} \times 100 = \frac{8 \times 100}{27} = \frac{800}{27}

Step 3: Divide 800 by 27 to get the decimal:
8002729.62962963\frac{800}{27} \approx 29.62962963

Rounding the decimal to two decimal places, the percentage is approximately 29.63%.

However, looking at the given choices, 29.62% is the closest option and the most accurate considering typical rounding conventions.

Therefore, the fraction 827\frac{8}{27} is approximately 29.62%.

Answer

29.62%