Converting 36/7 to Percentage: Step-by-Step Fraction Problems

To solve this problem, we'll follow these steps:

• Step 1: Convert the fraction to a decimal.
• Step 2: Convert the decimal to a percentage.
• Step 3: Select the correct answer choice.

Let's work through these steps:

Step 1: Convert $\frac{36}{7}$ to a decimal by performing the division $36 \div 7$. This calculation gives us approximately $5.142857$.

Step 2: Convert the decimal $5.142857$ to a percentage by multiplying by 100. This results in $5.142857 \times 100 = 514.2857\%$.

Given the choices, it's customary to round percentages to the nearest whole number for clarity. Thus, 514.2857% rounds to approximately 514%. However, looking at the options available, we identify that "approximately" suggests which choice best fits the context. The closest rounded option to consider is indeed 500%.

Therefore, the solution to the problem is $500\%$.