Convert Fraction to Percentage: Solving 49/102 Through Approximation

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

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Step-by-step video solution

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00:00 Convert approximately to percentages
00:03 Convert to the closest fraction that we can convert to percentages
00:20 Break down 100 into factors 50 and 2
00:24 Simplify what we can
00:28 This is the simple fraction, now let's convert to percentages
00:32 Multiply the entire fraction by 100, and calculate the quotient
00:36 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

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

2

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.

3

Final Answer

50%

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Approximately what is \( \frac{11}{50} \) written as a percentage?

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