Convert Fraction to Percentage: Finding the Value of 50/204

Q: Why can I change 204 to 200 in the denominator?

The question asks for an approximate answer! Since 204 is very close to 200, using 200 makes the calculation much easier while keeping the answer accurate enough.

Q: How do I know which simple fraction to use?

Look for denominators that are multiples of 10, 25, or other easy numbers. Here, 200 is close to 204, and $ \frac{50}{200} $ simplifies nicely to $ \frac{1}{4} $.

Q: Is 25% really close to the exact answer?

Yes! The exact value of $ \frac{50}{204} $ is about 24.5%, so 25% is very close and perfect for an approximation question.

Q: Do I always multiply by 100 to get a percentage?

Absolutely! Percentage means "per hundred", so multiplying any decimal or fraction by 100 converts it to a percentage. Don't forget the % symbol!

Fraction to Percentage with Approximation

Approximately what is $\frac{50}{204}$ 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

00:03 Convert to the closest fraction that we can convert to percentages

00:14 Break down 200 into factors 50 and 4

00:22 Reduce what we can

00:28 Reduce what we can

00:32 Multiply the entire fraction by 100, and calculate the quotient

00:35 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 $\frac{50}{204}$ written as a percentage?

Step-by-step solution

Find the closest fraction so we can divide the numerator by the denominator:

$\frac{50}{200}$

We break down the denominator into a multiplication exercise:

$\frac{5}{50\times4}$

We simplify:

$\frac{1}{4}$

We convert the fraction to a percentage:

$\frac{1}{4}\times100=\frac{100}{4}=$

$25\%$

Final Answer

25%

Key Points to Remember

Essential concepts to master this topic

Rule: To convert fractions to percentages, multiply by 100
Technique: Find closest simple fraction: $\frac{50}{204} \approx \frac{50}{200} = \frac{1}{4}$
Check: Verify $\frac{1}{4} \times 100 = 25\%$ makes sense ✓

Common Mistakes

Avoid these frequent errors

Using the exact denominator instead of approximating
Don't try to calculate $\frac{50}{204} \times 100$ exactly = 24.51%! This leads to complex calculations when the question asks for approximation. Always look for the closest simple fraction like $\frac{50}{200} = \frac{1}{4}$ first.

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 I change 204 to 200 in the denominator?

The question asks for an approximate answer! Since 204 is very close to 200, using 200 makes the calculation much easier while keeping the answer accurate enough.

How do I know which simple fraction to use?

Look for denominators that are multiples of 10, 25, or other easy numbers. Here, 200 is close to 204, and $\frac{50}{200}$ simplifies nicely to $\frac{1}{4}$ .

What if none of the answer choices match my calculation?

Double-check your approximation! Make sure you're using a reasonable simple fraction. If $\frac{1}{4} = 25\%$ matches an answer choice, you're on the right track.

Is 25% really close to the exact answer?

Yes! The exact value of $\frac{50}{204}$ is about 24.5%, so 25% is very close and perfect for an approximation question.

Do I always multiply by 100 to get a percentage?

Absolutely! Percentage means "per hundred", so multiplying any decimal or fraction by 100 converts it to a percentage. Don't forget the % symbol!

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