Convert Fraction 48.8/100 to Percentage: Step-by-Step Solution

Q: What's the difference between 48.8/100 and 48.8%?

$ \frac{48.8}{100} $ is a fraction that equals 0.488 as a decimal. The percentage 48.8% represents the same value but in percentage form. They're equal: $ \frac{48.8}{100} = 48.8\% $

Q: Can I just move the decimal point instead of multiplying?

Yes! Moving the decimal point two places to the right is the same as multiplying by 100. So 0.488 becomes 48.8%. This shortcut works perfectly for decimal-to-percentage conversions.

Q: Why isn't the answer 48.88%?

Be careful with decimal places! $ \frac{48.8}{100} = 0.488 $, not 0.4888. When you multiply 0.488 × 100, you get exactly 48.8%, not 48.88%.

Q: How do I check if my percentage is correct?

Convert your percentage back to a fraction: 48.8% = $ \frac{48.8}{100} $. If this matches your original fraction, you're right! ✓

Fraction to Percentage with Decimal Numerators

Convert the fraction to a percentage:

$\frac{48.8}{100}=\text{?}$

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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

00:20 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:

$\frac{48.8}{100}=\text{?}$

Step-by-step solution

To convert $\frac{48.8}{100}$ into a percentage, we follow these steps:

Step 1: Identify the given fraction $\frac{48.8}{100}$ .
Step 2: Multiply the fraction by 100: $\frac{48.8}{100} \times 100 = 48.8$

The result indicates that $\frac{48.8}{100}$ is equal to $48.8\%$ .

Thus, the correct choice is the one matching this calculation, which is $48.8\%$ .

Final Answer

48.8%

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply any fraction by 100 to convert to percentage
Technique: $\frac{48.8}{100} \times 100 = 48.8\%$
Check: Percentage should equal decimal form: 0.488 = 48.8% ✓

Common Mistakes

Avoid these frequent errors

Adding % symbol without multiplying by 100
Don't just add % to the decimal 0.488 = 0.488%! This gives a percentage 100 times smaller than correct. Always multiply the decimal by 100 first, then add the % symbol.

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 when the denominator is already 100?

Great question! Even though the denominator is 100, you still need to multiply by 100 to convert to percentage. The fraction $\frac{48.8}{100}$ equals 0.488 as a decimal, and 0.488 × 100 = 48.8%.

What's the difference between 48.8/100 and 48.8%?

$\frac{48.8}{100}$ is a fraction that equals 0.488 as a decimal. The percentage 48.8% represents the same value but in percentage form. They're equal: $\frac{48.8}{100} = 48.8\%$

Can I just move the decimal point instead of multiplying?

Yes! Moving the decimal point two places to the right is the same as multiplying by 100. So 0.488 becomes 48.8%. This shortcut works perfectly for decimal-to-percentage conversions.

Why isn't the answer 48.88%?

Be careful with decimal places! $\frac{48.8}{100} = 0.488$ , not 0.4888. When you multiply 0.488 × 100, you get exactly 48.8%, not 48.88%.

How do I check if my percentage is correct?

Convert your percentage back to a fraction: 48.8% = $\frac{48.8}{100}$ . If this matches your original fraction, you're right! ✓

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