Converting 41/51 to Percentage: Fraction Approximation Problem

Approximately what is $\frac{41}{51}$ written as a percentage?

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

• Step 1: Divide the numerator by the denominator to convert to a decimal.
• Step 2: Multiply the decimal by 100 to express it as a percentage.
• Step 3: Compare the calculated percentage with the given choices.

Now, let's work through each step:
Step 1: Compute the division of 41 by 51:
$\frac{41}{51} \approx 0.8039$
Step 2: Multiply the decimal result by 100:
$0.8039 \times 100 = 80.39\%$
Step 3: Round this to the nearest whole percentage, which gives approximately 80%.

Therefore, $\frac{41}{51}$ is approximately 80%.