Convert Fraction 55.1/10 to Percentage: Step-by-Step Solution

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

A percentage means "per hundred" or out of 100. When you multiply by 100, you're converting the decimal to show how many parts out of 100 it represents.

Q: How can the percentage be bigger than 100%?

Percentages can definitely exceed 100%! This just means the value is greater than the whole. Since $ \frac{55.1}{10} = 5.51 $ is greater than 1, the percentage will be over 100%.

Q: Is there a shortcut for fractions with denominator 10?

Yes! For denominators of 10, just move the decimal point in the numerator one place to the right, then add the % symbol. $ \frac{55.1}{10} $ becomes 551%.

Decimal Fraction to Percentage Conversion

Convert the fraction $\frac{55.1}{10}$ 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

00:25 Proceed to calculate

00:43 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the fraction $\frac{55.1}{10}$ to a percentage:

Step-by-step solution

To convert the fraction $\frac{55.1}{10}$ to a percentage, follow these steps:

Step 1: Convert the fraction to a decimal by performing the division: $\frac{55.1}{10} = 5.51$ .
Step 2: Multiply the decimal by 100 to convert it to a percentage: $5.51 \times 100 = 551\%$ .

Therefore, the fraction $\frac{55.1}{10}$ converted to a percentage is 551%.

Final Answer

551%

Key Points to Remember

Essential concepts to master this topic

Rule: First convert fraction to decimal, then multiply by 100
Technique: $\frac{55.1}{10} = 5.51$ , then $5.51 \times 100 = 551\%$
Check: 551% ÷ 100 = 5.51, and 5.51 × 10 = 55.1 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100 after finding the decimal
Don't stop at 5.51 and call it 5.51% = wrong answer! The decimal 5.51 is not the percentage yet. Always multiply the decimal result by 100 to get 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 multiply by 100 to get a percentage?

A percentage means "per hundred" or out of 100. When you multiply by 100, you're converting the decimal to show how many parts out of 100 it represents.

Can I convert the fraction directly without finding the decimal first?

Yes! You can multiply both numerator and denominator to get a denominator of 100. For $\frac{55.1}{10}$ , multiply both by 10: $\frac{551}{100} = 551\%$

How can the percentage be bigger than 100%?

Percentages can definitely exceed 100%! This just means the value is greater than the whole. Since $\frac{55.1}{10} = 5.51$ is greater than 1, the percentage will be over 100%.

What if I got 55.1% as my answer?

That's a common error! You likely forgot to divide 55.1 by 10 first. Remember: always convert the fraction to decimal first, then multiply by 100.

Is there a shortcut for fractions with denominator 10?

Yes! For denominators of 10, just move the decimal point in the numerator one place to the right, then add the % symbol. $\frac{55.1}{10}$ becomes 551%.

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