Converting 41/51 to Percentage: Fraction Approximation Problem

Question

Approximately what is 4151 \frac{41}{51} written as a percentage?

Video Solution

Step-by-Step Solution

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:
41510.8039 \frac{41}{51} \approx 0.8039
Step 2: Multiply the decimal result by 100:
0.8039×100=80.39% 0.8039 \times 100 = 80.39\%
Step 3: Round this to the nearest whole percentage, which gives approximately 80%.

Therefore, 4151\frac{41}{51} is approximately 80%.

Answer

80%