Convert Fraction to Percentage: Finding the Percentage Value of 3/4

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

Because percent means "per hundred"! When you multiply by 100, you're showing how many parts out of 100. So $ \frac{3}{4} = 75\% $ means 75 out of 100.

Q: Can I convert to decimal first, then to percentage?

Absolutely! $ \frac{3}{4} = 0.75 $, then multiply by 100 to get 75%. Both methods work perfectly - choose whichever feels easier!

Q: What if my fraction doesn't divide evenly?

No problem! You might get a decimal percentage like 33.33%. Just calculate $ \frac{numerator}{denominator} \times 100 $ and round to a reasonable number of decimal places.

Q: How can I check if 75% is really equal to 3/4?

Convert back! 75% = 75/100 = 3/4 when simplified. Or convert to decimals: 75% = 0.75 and $ \frac{3}{4} = 0.75 $ ✓

Q: Is there a shortcut for common fractions?

Yes! Memorize common ones: $ \frac{1}{2} = 50\% $, $ \frac{1}{4} = 25\% $, $ \frac{3}{4} = 75\% $. These show up frequently in problems!

Fraction to Percentage with Decimal Conversion

Write the fraction $\frac{3}{4}$ as a percentage

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert fractions to percentages

00:05 We need to get a fraction with a denominator equal to 100

00:08 The percentage is equal to the numerator (X)

00:13 Apply this formula to our exercise

00:16 Multiply both the numerator and denominator by 25 to obtain a denominator equal to 100

00:26 Proceed to calculate

00:36 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Write the fraction $\frac{3}{4}$ as a percentage

Step-by-step solution

To convert the fraction $\frac{3}{4}$ into a percentage, we follow these steps:

Step 1: Identify the fraction given, which is $\frac{3}{4}$ .
Step 2: Use the conversion formula for fractions to percentages: $\frac{a}{b} \times 100\%$ .
Step 3: Multiply the fraction by 100: $\frac{3}{4} \times 100\% = \frac{300}{4}\%$ .
Step 4: Simplify the result: $\frac{300}{4} = 75\%$ .

Therefore, after multiplying and simplifying, we find that the fraction $\frac{3}{4}$ is equivalent to $75\%$ .

Reviewing the answer choices provided, the correct answer is:

Choice 4: 75%

Consequently, the fraction $\frac{3}{4}$ expressed as a percentage is $75\%$ .

Final Answer

75%

Key Points to Remember

Essential concepts to master this topic

Rule: To convert fraction to percentage, multiply by 100%
Technique: Calculate $\frac{3}{4} \times 100 = \frac{300}{4} = 75\%$
Check: Verify 75% as decimal: 0.75 = $\frac{3}{4}$ ✓

Common Mistakes

Avoid these frequent errors

Converting to decimal first then forgetting to multiply by 100
Don't convert $\frac{3}{4}$ to 0.75 and stop there = wrong answer! This gives you the decimal form, not percentage. Always multiply by 100 to get the percentage: 0.75 × 100 = 75%.

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

$\frac{2}{100}=\text{?}$

FAQ

Everything you need to know about this question

Why do I multiply by 100 to get a percentage?

Because percent means "per hundred"! When you multiply by 100, you're showing how many parts out of 100. So $\frac{3}{4} = 75\%$ means 75 out of 100.

Can I convert to decimal first, then to percentage?

Absolutely! $\frac{3}{4} = 0.75$ , then multiply by 100 to get 75%. Both methods work perfectly - choose whichever feels easier!

What if my fraction doesn't divide evenly?

No problem! You might get a decimal percentage like 33.33%. Just calculate $\frac{numerator}{denominator} \times 100$ and round to a reasonable number of decimal places.

How can I check if 75% is really equal to 3/4?

Convert back! 75% = 75/100 = 3/4 when simplified. Or convert to decimals: 75% = 0.75 and $\frac{3}{4} = 0.75$ ✓

Is there a shortcut for common fractions?

Yes! Memorize common ones: $\frac{1}{2} = 50\%$ , $\frac{1}{4} = 25\%$ , $\frac{3}{4} = 75\%$ . These show up frequently in problems!

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