Convert 75/100 to Percentage: Step-by-Step Fraction Translation

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

Because percent means "per hundred"! When you multiply by 100, you're converting your fraction to show how many parts out of 100 you have.

Q: What if my fraction doesn't have 100 in the denominator?

No problem! The formula $ \frac{\text{Part}}{\text{Whole}} \times 100 $ works for any fraction. For example, $ \frac{3}{4} \times 100 = 75\% $.

Q: Is 75/100 the same as 0.75?

Yes! $ \frac{75}{100} = 0.75 = 75\% $. These are three different ways to write the same value: fraction, decimal, and percentage.

Q: Can I simplify 75/100 first before converting?

Absolutely! $ \frac{75}{100} = \frac{3}{4} $, and $ \frac{3}{4} \times 100 = 75\% $. Both methods give the same answer.

Q: How do I know if my percentage is reasonable?

Think about it logically: 75 out of 100 is most of the whole (more than half), so 75% makes sense. Always check if your percentage matches your intuition!

Fraction to Percentage with Direct Conversion

Calculate 75 over 100 as a percentage:

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 75 over 100 as a percentage:

Step-by-step solution

In order to determine the percentage of 75 out of 100, apply the percentage formula:

$\text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100$

Substitute the specific values:

$\text{Percentage} = \frac{75}{100} \times 100$

The equation simplifies to:

$\text{Percentage} = 75\%$

Therefore, 75 out of 100 is equivalent to 75%.

Final Answer

75%

Key Points to Remember

Essential concepts to master this topic

Formula: Multiply fraction by 100 to get percentage value
Technique: $\frac{75}{100} \times 100 = 75\%$ simplifies directly
Check: 75% means 75 out of 100 parts ✓

Common Mistakes

Avoid these frequent errors

Converting denominator instead of the whole fraction
Don't just look at 100 and think it's automatically 100% = wrong answer! The numerator 75 is what matters for the percentage. Always multiply the entire fraction by 100 to convert properly.

Practice Quiz

Test your knowledge with interactive questions

Calculate 30 over 100 as a percentage:

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 converting your fraction to show how many parts out of 100 you have.

What if my fraction doesn't have 100 in the denominator?

No problem! The formula $\frac{\text{Part}}{\text{Whole}} \times 100$ works for any fraction. For example, $\frac{3}{4} \times 100 = 75\%$ .

Is 75/100 the same as 0.75?

Yes! $\frac{75}{100} = 0.75 = 75\%$ . These are three different ways to write the same value: fraction, decimal, and percentage.

Can I simplify 75/100 first before converting?

Absolutely! $\frac{75}{100} = \frac{3}{4}$ , and $\frac{3}{4} \times 100 = 75\%$ . Both methods give the same answer.

How do I know if my percentage is reasonable?

Think about it logically: 75 out of 100 is most of the whole (more than half), so 75% makes sense. Always check if your percentage matches your intuition!

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