Converting 88.88/10: Fraction to Percentage Solution

Q: Why can't I just multiply 88.88 by 10 to get the percentage?

That would give you 888.8, but it's not the right method! You must divide first to get the decimal value (8.888), then multiply by 100 to get 888.8%.

Q: How do I know when to divide vs multiply in fraction problems?

For fractions, always divide the numerator by the denominator first. The fraction bar means division! Then convert that decimal result to percentage.

Q: What if I get confused about decimal placement?

Think step-by-step: $ \frac{88.88}{10} $ = 88.88 ÷ 10 = 8.888. Then 8.888 × 100 = 888.8%. Never skip the division step!

Q: Is 888.8% a reasonable answer for this fraction?

Yes! Since $ \frac{88.88}{10} $ equals 8.888, which is much greater than 1, the percentage should be much greater than 100%. 888.8% makes perfect sense!

Fraction to Percentage with Decimal Numerators

Convert the fraction $\frac{88.88}{10}$ to 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 To convert a fraction to a percentage, the denominator needs to be 100

00:10 The percentage is the numerator (X)

00:15 Apply this formula to our exercise

00:20 Multiply both the numerator and denominator by 10 to obtain a denominator equal to 100

00:30 Proceed to calculate

00:46 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the fraction $\frac{88.88}{10}$ to a percentage:

Step-by-step solution

To convert the fraction $\frac{88.88}{10}$ into a percentage, follow these steps:

Step 1: Calculate the decimal value of the fraction. Divide 88.88 by 10 to get 8.888.
Step 2: Convert the decimal value to a percentage. Multiply the decimal 8.888 by 100.
Step 3: Perform the multiplication: $8.888 \times 100 = 888.8$ .

Therefore, the fraction $\frac{88.88}{10}$ converted to a percentage is 888.8%.

Checking the choices given, the correct answer is choice 4.

Final Answer

888.8%

Key Points to Remember

Essential concepts to master this topic

Division First: Calculate fraction value before converting to percentage
Technique: Divide 88.88 ÷ 10 = 8.888, then multiply by 100
Check: Verify 888.8% = 8.888 as decimal value ✓

Common Mistakes

Avoid these frequent errors

Converting fraction directly to percentage without calculating decimal value
Don't just move decimal points around without dividing first = wrong percentage! This skips the crucial step of finding the actual decimal value. Always divide numerator by denominator first, then multiply by 100.

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 can't I just multiply 88.88 by 10 to get the percentage?

That would give you 888.8, but it's not the right method! You must divide first to get the decimal value (8.888), then multiply by 100 to get 888.8%.

How do I know when to divide vs multiply in fraction problems?

For fractions, always divide the numerator by the denominator first. The fraction bar means division! Then convert that decimal result to percentage.

What if I get confused about decimal placement?

Think step-by-step: $\frac{88.88}{10}$ = 88.88 ÷ 10 = 8.888. Then 8.888 × 100 = 888.8%. Never skip the division step!

Is 888.8% a reasonable answer for this fraction?

Yes! Since $\frac{88.88}{10}$ equals 8.888, which is much greater than 1, the percentage should be much greater than 100%. 888.8% makes perfect sense!

How can I double-check my percentage conversion?

Convert back: Take 888.8% ÷ 100 = 8.888, then multiply by 10 to get 88.88. This should equal your original numerator!

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