Convert 2.48/10 to a Percentage: Step-by-Step Calculation

Q: Why do I divide first instead of just multiplying 2.48 by 100?

Because you have a fraction, not just the numerator alone! The fraction $ \frac{2.48}{10} $ represents division. You must complete this division first to get 0.248, then convert to percentage.

Q: Can I just move the decimal point instead of dividing by 10?

Yes! Dividing by 10 is the same as moving the decimal point one place to the left. So 2.48 ÷ 10 = 0.248. This is a great shortcut!

Q: What if the denominator isn't 10 or 100?

The same method works! Always divide first to get the decimal, then multiply by 100. For example: $ \frac{3}{8} = 0.375 = 37.5\% $

Q: Is 24.8% the same as 24.80%?

Yes! Adding zeros after the decimal doesn't change the value. Both 24.8% and 24.80% represent the same amount.

Fraction to Percentage with Decimal Numerators

Convert the fraction into a percentage:

$\frac{2.48}{10}=\text{?}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert fractions to percentages

00:11 Apply this formula to our exercise

00:21 Multiply both the numerator and denominator by 10 to obtain a denominator equal to 100

00:36 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 into a percentage:

$\frac{2.48}{10}=\text{?}$

Step-by-step solution

To solve this problem, we'll convert the fraction $\frac{2.48}{10}$ into a percentage by following these steps:

Step 1: Convert the fraction to a decimal.
Perform the division: $\frac{2.48}{10} = 0.248$ .
Step 2: Convert the decimal to a percentage.
Multiply the decimal by 100: $0.248 \times 100 = 24.8\%$ .

Therefore, $\frac{2.48}{10}$ expressed as a percentage is $24.8\%$ .

The correct answer choice is $24.8\%$ .

Final Answer

24.8%

Key Points to Remember

Essential concepts to master this topic

Rule: Convert fraction to decimal first, then multiply by 100
Technique: $\frac{2.48}{10} = 0.248$ , then $0.248 \times 100 = 24.8\%$
Check: Verify by dividing percentage by 100: $24.8\% ÷ 100 = 0.248$ ✓

Common Mistakes

Avoid these frequent errors

Multiplying the numerator by 100 before dividing
Don't multiply 2.48 by 100 first to get 248/10 = 2480%! This ignores the division step completely. Always divide first to get the decimal (0.248), then multiply by 100 for the 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 divide first instead of just multiplying 2.48 by 100?

Because you have a fraction, not just the numerator alone! The fraction $\frac{2.48}{10}$ represents division. You must complete this division first to get 0.248, then convert to percentage.

Can I just move the decimal point instead of dividing by 10?

Yes! Dividing by 10 is the same as moving the decimal point one place to the left. So 2.48 ÷ 10 = 0.248. This is a great shortcut!

What if the denominator isn't 10 or 100?

The same method works! Always divide first to get the decimal, then multiply by 100. For example: $\frac{3}{8} = 0.375 = 37.5\%$

How do I know where to put the decimal point in my final answer?

After multiplying by 100, count your decimal places carefully. In this problem: 0.248 × 100 = 24.8, so the decimal stays between the 4 and 8.

Is 24.8% the same as 24.80%?

Yes! Adding zeros after the decimal doesn't change the value. Both 24.8% and 24.80% represent the same amount.

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