Converting 19/60 to Percentage: Fraction Approximation Problem

To solve this problem, follow these steps:

• Step 1: Convert the fraction to a decimal.
• Step 2: Convert the decimal to a percentage.

Now, let's work through these steps:

Step 1: Convert $\frac{19}{60}$ to a decimal.

By performing the division $19 \div 60$, we get approximately $0.3167$.

Step 2: Convert the decimal $0.3167$ to a percentage.

We multiply the decimal by 100 to obtain the percentage: $0.3167 \times 100 = 31.67\%$.

Since 31.67% is the exact decimal conversion, we notice we are approximating, simplifying to the nearest common percentage form corresponding to the provided choices.

Therefore, the approximate value to the nearest common percentage based on options is 33.33\%. This matches choice option 3.