Convert Fraction to Percentage: Solving 99.9/100

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

Percentage means "per hundred" - it shows how many parts out of 100. When you multiply a decimal by 100, you're converting it to this "out of 100" format!

Q: Is 99.9/100 the same as 0.999?

Yes! $ \frac{99.9}{100} = 0.999 $ in decimal form. But as a percentage, we need to multiply by 100 to get 99.9%.

Q: Can I have more than 100% in an answer?

Absolutely! If your fraction is greater than 1 (like $ \frac{150}{100} $), you'll get more than 100%. This just means more than the whole!

Q: How do I check if 99.9% is correct?

Convert back: 99.9% ÷ 100 = 0.999, and $ \frac{99.9}{100} = 0.999 $. They match, so it's correct! ✓

Percentage Conversion with Decimal Fractions

Convert the following fraction into a percentage:

$\frac{99.9}{100}=\text{?}$

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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 A fraction with a denominator equal to 100 equals the numerator in percentage form (X)

00:12 Apply this formula to our exercise

00:21 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the following fraction into a percentage:

$\frac{99.9}{100}=\text{?}$

Step-by-step solution

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

Step 1: Identify the given fraction, which is $\frac{99.9}{100}$ .
Step 2: Use the percentage conversion formula, which states that to convert a fraction to a percentage, we multiply by 100.
Step 3: Perform the calculation: $\frac{99.9}{100} \times 100$ .

Now, let's work through each step in detail:
Step 1: The fraction given is $\frac{99.9}{100}$ .
Step 2: To convert this fraction into a percentage, we utilize the formula: $\frac{99.9}{100} \times 100\% = 99.9\%$ .
Step 3: When we carry out the multiplication, it is clear that $\frac{99.9}{100} \times 100 = 99.9\%$ .

Thus, the solution to the problem is $99.9\%$ .

Final Answer

99.9%

Key Points to Remember

Essential concepts to master this topic

Formula: To convert fraction to percentage, multiply by 100
Technique: $\frac{99.9}{100} \times 100 = 99.9\%$
Check: Decimal fraction becomes percentage when multiplied by 100 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100
Don't just convert $\frac{99.9}{100}$ to 0.999 and stop = missing the percentage step! This gives you the decimal form, not the percentage. Always multiply by 100 to convert from decimal to percentage.

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 we multiply by 100 to get a percentage?

Percentage means "per hundred" - it shows how many parts out of 100. When you multiply a decimal by 100, you're converting it to this "out of 100" format!

Is 99.9/100 the same as 0.999?

Yes! $\frac{99.9}{100} = 0.999$ in decimal form. But as a percentage, we need to multiply by 100 to get 99.9%.

What if the denominator isn't 100?

The method is the same! First convert to decimal by dividing, then multiply by 100. For example: $\frac{3}{4} = 0.75 = 75\%$

Can I have more than 100% in an answer?

Absolutely! If your fraction is greater than 1 (like $\frac{150}{100}$ ), you'll get more than 100%. This just means more than the whole!

How do I check if 99.9% is correct?

Convert back: 99.9% ÷ 100 = 0.999, and $\frac{99.9}{100} = 0.999$ . They match, so it's correct! ✓

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