Convert Fraction to Percentage: Finding the Value of 6/17

What is the approximate percentage of $\frac{6}{17}$?

To solve the problem of converting the fraction $\frac{6}{17}$ to a percentage, we will follow these steps:

• First, convert $\frac{6}{17}$ into a decimal.
• Second, multiply the resulting decimal by 100 to express it as a percentage.

Let's carry out each step:

Step 1: Convert $\frac{6}{17}$ into a decimal.
When doing long division of 6 by 17, we obtain approximately 0.3529.

Step 2: Convert the decimal to a percentage.
To convert a decimal to a percentage, multiply it by 100 and add the percentage sign:
$0.3529 \times 100 = 35.29\%$.

In context, we are looking for the closest approximation among the choices, which include rounded percentages. The value 33.33% is the closest match to our calculation of 35.29% given the options provided.

Therefore, the approximate percentage of $\frac{6}{17}$ is 33.33%.