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

Q: Why can't I just estimate without doing the division?

Quick estimation can be very misleading with fractions! $ \frac{15}{61} $ might look like it should be around 50%, but the actual calculation shows it's only 25%. Always do the division first.

Q: How do I know when to round my answer?

Look at your answer choices! Since 24.59% is closest to 25%, that's your answer. The word 'approximately' in the question tells you that exact precision isn't needed.

Q: What if I don't have a calculator?

You can use long division or recognize that $ \frac{15}{60} = \frac{1}{4} = 25\% $. Since 61 is close to 60, the answer will be close to 25%.

Q: Why do we multiply by 100 to get a percentage?

Percent means 'per hundred'. Converting 0.2459 to percentage means finding how many parts out of 100, so 0.2459 × 100 = 24.59 parts out of 100.

Q: Could the answer be 58% since that's close to 61?

No! Don't confuse the denominator with the percentage. The denominator 61 tells you how many equal parts the whole is divided into, not the percentage value.

Fraction to Percentage with Division Estimation

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

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

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

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

Step-by-step solution

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

Step 1: Compute the decimal representation of the fraction $\frac{15}{61}$ .
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 $\frac{15}{61}$ by performing the division: $\frac{15}{61} \approx 0.2459$ .
Step 2: Convert the decimal to a percentage by multiplying by 100: $0.2459 \times 100 \approx 24.59\%$ .
Step 3: Compare 24.59% with the answer choices. The closest percentage is 25%.

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

Final Answer

25%

Key Points to Remember

Essential concepts to master this topic

Conversion: Divide numerator by denominator, then multiply by 100
Technique: $\frac{15}{61} \approx 0.2459 \times 100 = 24.59\%$
Check: Compare result to answer choices: 24.59% is closest to 25% ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply decimal by 100
Don't stop at the decimal 0.2459 = wrong answer format! Students often calculate the decimal correctly but forget percentages need the ×100 step. Always multiply your decimal result by 100 to get the percentage.

Practice Quiz

Test your knowledge with interactive questions

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

FAQ

Everything you need to know about this question

Why can't I just estimate without doing the division?

Quick estimation can be very misleading with fractions! $\frac{15}{61}$ might look like it should be around 50%, but the actual calculation shows it's only 25%. Always do the division first.

How do I know when to round my answer?

Look at your answer choices! Since 24.59% is closest to 25%, that's your answer. The word 'approximately' in the question tells you that exact precision isn't needed.

What if I don't have a calculator?

You can use long division or recognize that $\frac{15}{60} = \frac{1}{4} = 25\%$ . Since 61 is close to 60, the answer will be close to 25%.

Why do we multiply by 100 to get a percentage?

Percent means 'per hundred'. Converting 0.2459 to percentage means finding how many parts out of 100, so 0.2459 × 100 = 24.59 parts out of 100.

Could the answer be 58% since that's close to 61?

No! Don't confuse the denominator with the percentage. The denominator 61 tells you how many equal parts the whole is divided into, not the percentage value.

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