Convert Fraction to Percentage: Solving 49/102 Through Approximation

Question

Approximate what is 49102 \frac{49}{102} written as a percentage?

Video Solution

Step-by-Step Solution

To approximate the fraction 49102 \frac{49}{102} as a percentage, follow these steps:

  • Recognize that 49 49 is close to 50 50 and 102 102 is slightly more than 100 100 . This makes the fraction approximately equal to 50100 \frac{50}{100} .
  • 50100 \frac{50}{100} simplifies to 0.5 0.5 .
  • To find the percentage, multiply 0.5 0.5 by 100: 0.5×100=50% 0.5 \times 100 = 50\% .

Therefore, the fraction 49102 \frac{49}{102} is approximately 50% 50\% when expressed as a percentage.

Answer

50%