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

Question

What is the approximate percentage of 617 \frac{6}{17} ?

Video Solution

Step-by-Step Solution

To solve the problem of converting the fraction 617\frac{6}{17} to a percentage, we will follow these steps:

  • First, convert 617\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 617\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:
0.3529×100=35.29% 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 617\frac{6}{17} is 33.33%.

Answer

33.33%