Convert Fraction to Percentage: Solving 8.88/100

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

Percentage means "per hundred" or "out of 100." When you multiply a fraction by 100, you're finding how many parts out of 100 it represents, which is exactly what a percentage shows!

Q: What's the difference between 8.88/100 as a decimal and as a percentage?

As a decimal: $ \frac{8.88}{100} = 0.0888 $As a percentage: $ \frac{8.88}{100} \times 100 = 8.88\% $The percentage is much larger because we multiply by 100!

Q: Why isn't the answer just 8.88 without the calculation?

Because $ \frac{8.88}{100} $ means "8.88 divided by 100," which equals 0.0888. To convert this to a percentage, you multiply by 100, getting back to 8.88%.

Q: How do I check if 8.88% is correct?

Convert back to a fraction: 8.88% = $ \frac{8.88}{100} $ ✓Or convert to decimal: 8.88% ÷ 100 = 0.0888, and $ \frac{8.88}{100} = 0.0888 $ ✓

Fraction to Percentage with Decimal Numerators

Convert the fraction to a percentage:

$\frac{8.88}{100}=\text{?}$

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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

00:18 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the fraction to a percentage:

$\frac{8.88}{100}=\text{?}$

Step-by-step solution

To solve this problem, we need to convert the fraction $\frac{8.88}{100}$ to a percentage.

Step 1: Identify the fraction, which is $\frac{8.88}{100}$ .
Step 2: Use the formula for converting a fraction to a percentage: $\text{Fraction} \times 100 = \text{Percentage}$ .
Step 3: Perform the calculation $\frac{8.88}{100} \times 100$ .

Now, let's perform the calculation:

$\frac{8.88}{100} \times 100 = 8.88$ .

Therefore, the fraction $\frac{8.88}{100}$ converts to a percentage of 8.88%.

Thus, the solution to the problem is $8.88\%$ .

Final Answer

8.88%

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply any fraction by 100 to convert to percentage
Technique: Calculate $\frac{8.88}{100} \times 100 = 8.88$ then add % symbol
Check: Verify 8.88% = 8.88/100 by dividing 8.88 ÷ 100 = 0.0888 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100 when converting fractions
Don't just read the decimal value 8.88 and assume it's already a percentage = wrong answer of 8.88 when it should be much smaller! The fraction 8.88/100 equals 0.0888 as a decimal, not 8.88. Always multiply the fraction by 100 to get the true 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 I multiply by 100 to get a percentage?

Percentage means "per hundred" or "out of 100." When you multiply a fraction by 100, you're finding how many parts out of 100 it represents, which is exactly what a percentage shows!

What's the difference between 8.88/100 as a decimal and as a percentage?

As a decimal: $\frac{8.88}{100} = 0.0888$
As a percentage: $\frac{8.88}{100} \times 100 = 8.88\%$
The percentage is much larger because we multiply by 100!

Can I just move the decimal point instead of multiplying?

Not for fractions like this! Moving the decimal point works when converting decimals to percentages (0.0888 → 8.88%). But with fractions, you must multiply by 100 first.

Why isn't the answer just 8.88 without the calculation?

Because $\frac{8.88}{100}$ means "8.88 divided by 100," which equals 0.0888. To convert this to a percentage, you multiply by 100, getting back to 8.88%.

How do I check if 8.88% is correct?

Convert back to a fraction: 8.88% = $\frac{8.88}{100}$ ✓
Or convert to decimal: 8.88% ÷ 100 = 0.0888, and $\frac{8.88}{100} = 0.0888$ ✓

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