Convert Fraction to Percentage: Finding the Approximate Value of 15/61

Approximately what is 1561 \frac{15}{61} written as a percentage?

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Step-by-step video solution

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00:00 Convert approximately to percentages
00:04 We'll convert to the closest fraction that we can convert to percentages
00:16 We'll break down 60 into factors 15 and 4
00:21 We'll reduce what we can
00:25 This is the simple fraction, now let's convert to percentages
00:28 We'll multiply the entire fraction by 100, and calculate the quotient
00:31 And this is the solution to the question

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1

Understand the problem

Approximately what is 1561 \frac{15}{61} written as a percentage?

2

Step-by-step solution

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

  • Step 1: Compute the decimal representation of the fraction 1561\frac{15}{61}.
  • Step 2: Convert the decimal to a percentage.
  • Step 3: Compare the result with the provided answer choices.

Now, let's work through each step:
Step 1: Calculate 1561\frac{15}{61} by performing the division: 15610.2459 \frac{15}{61} \approx 0.2459 .
Step 2: Convert the decimal to a percentage by multiplying by 100: 0.2459×10024.59% 0.2459 \times 100 \approx 24.59\% .
Step 3: Compare 24.59% with the answer choices. The closest percentage is 25%.

Therefore, the approximate percentage representation of 1561\frac{15}{61} is 25%.

3

Final Answer

25%

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

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