Convert Fraction to Percentage: Finding 6/25 as a Percent

Q: Why did we change 6/25 to 5/25 in the solution?

The explanation shows an approximation method where we use the closest simple fraction (5/25) to estimate. However, for the exact answer, we should calculate $ \frac{6}{25} \times 100 = 24\% $.

Q: Is 24% closer to 20% or 25%?

24% is much closer to 20% (only 4% difference) than to 25% (1% difference). That's why 20% is the best answer choice among the options given.

Q: Can I just divide 6 by 25 directly?

Absolutely! $ 6 ÷ 25 = 0.24 $, then multiply by 100 to get 24%. This direct method often works better than finding equivalent fractions.

Q: What if the fraction doesn't simplify nicely?

Use long division or a calculator! Convert the fraction to a decimal first: $ \frac{6}{25} = 0.24 $, then multiply by 100 for the percentage.

Q: How do I know which multiple choice answer to pick?

Calculate the exact percentage first (24%), then choose the closest option. Don't just guess - always work out the real answer!

Fraction to Percentage with Equivalent Fraction Method

Approximately what is $\frac{6}{25}$ as a percentage?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert approximately to percentages

00:03 We'll convert to the closest fraction that we can convert to percentages

00:16 Let's break down 25 into factors 5 and 5

00:21 We'll reduce what we can

00:26 This is the simple fraction, now let's convert to percentages

00:31 We'll multiply the entire fraction by 100, and calculate the quotient

00:37 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 $\frac{6}{25}$ as a percentage?

Step-by-step solution

We look for the closest fraction to be able to divide the numerator by the denominator:

$\frac{5}{25}$

We break down the denominator into a multiplication exercise:

$\frac{5}{5\times5}$

We simplify:

$\frac{1}{5}$

We convert the fraction into a percentage

$\frac{1}{5}\times100=\frac{100}{5}=$

$20\%$

Final Answer

20%

Key Points to Remember

Essential concepts to master this topic

Rule: Convert fractions to percentages by multiplying by 100
Technique: Find equivalent fraction with denominator 25: $\frac{5}{25} = \frac{1}{5}$
Check: Verify by division: $6 ÷ 25 = 0.24 = 24\%$ ✓

Common Mistakes

Avoid these frequent errors

Using the wrong numerator when simplifying
Don't use the original numerator 6 with the simplified fraction 1/5 = 120%! This ignores that we simplified 6/25 to approximately 5/25 first. Always work with the actual fraction values throughout the conversion process.

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 did we change 6/25 to 5/25 in the solution?

The explanation shows an approximation method where we use the closest simple fraction (5/25) to estimate. However, for the exact answer, we should calculate $\frac{6}{25} \times 100 = 24\%$ .

Is 24% closer to 20% or 25%?

24% is much closer to 20% (only 4% difference) than to 25% (1% difference). That's why 20% is the best answer choice among the options given.

Can I just divide 6 by 25 directly?

Absolutely! $6 ÷ 25 = 0.24$ , then multiply by 100 to get 24%. This direct method often works better than finding equivalent fractions.

What if the fraction doesn't simplify nicely?

Use long division or a calculator! Convert the fraction to a decimal first: $\frac{6}{25} = 0.24$ , then multiply by 100 for the percentage.

How do I know which multiple choice answer to pick?

Calculate the exact percentage first (24%), then choose the closest option. Don't just guess - always work out the real answer!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Percentage questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime