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

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

To solve this problem, we'll convert the fraction $\frac{8}{27}$ 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 $\frac{8}{27} \times 100$.
• Step 3: Simplify the result to obtain the equivalent percentage.

Let's execute these steps:

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

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

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

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 $\frac{8}{27}$ is approximately 29.62%.