Convert the Fraction 28/10 to a Percentage: A Step-by-Step Guide

Q: Why is 28/10 equal to 280% and not 28%?

Because $ \frac{28}{10} = 2.8 $, which is greater than 1! When you have more than a whole (like 2.8), your percentage will be over 100%. Think of it as having 2.8 whole units = 280%.

Q: How do I know when a percentage will be over 100%?

When your fraction is improper (numerator larger than denominator), the percentage will exceed 100%. For example, $ \frac{28}{10} $ has 28 > 10, so expect over 100%!

Q: Can I convert this fraction a different way?

Yes! You can also think: "What do I multiply 10 by to get 100?" Answer: 10. So multiply both parts: $ \frac{28 \times 10}{10 \times 10} = \frac{280}{100} = 280\% $

Q: Is 280% the same as 2.8?

No! 280% means 280 out of 100, which equals 2.8 as a decimal. The % symbol changes the meaning completely. Always include the % when asked for a percentage!

Q: What if I got 28% as my answer?

You probably forgot that $ \frac{28}{10} $ doesn't equal 0.28. Remember: divide first (28 ÷ 10 = 2.8), then multiply by 100 for the percentage.

Fraction to Percentage with Improper Fractions

Convert the fraction $\frac{28}{10}$ into a percentage.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert the following fraction to a percentage

00:05 In order to convert a fraction to a percentage, the denominator needs to be 100

00:10 The percentage is the numerator (X)

00:15 We'll apply this formula to our exercise

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

00:40 Proceed to calculate

00:45 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the fraction $\frac{28}{10}$ into a percentage.

Step-by-step solution

To solve this problem, we follow these steps:

Step 1: Calculate the value of the fraction $\frac{28}{10}$ .
Step 2: Convert this fraction to a percentage by multiplying by 100.

Now, let's perform these steps:
Step 1: To simplify the fraction, we compute: $\frac{28}{10} = 2.8$
Step 2: To convert 2.8 to a percentage, we multiply by 100: $2.8 \times 100 = 280$

Therefore, the fraction $\frac{28}{10}$ converts to 280%.

Final Answer

280%

Key Points to Remember

Essential concepts to master this topic

Rule: Convert fraction to decimal first, then multiply by 100
Technique: $\frac{28}{10} = 2.8$ , then $2.8 \times 100 = 280\%$
Check: Verify that 280% = 2.8 when divided by 100 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100 after converting to decimal
Don't stop at 2.8 and call it 2.8% = wrong answer! This skips the crucial multiplication step. Always multiply the decimal by 100 to get the percentage: 2.8 × 100 = 280%.

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 is 28/10 equal to 280% and not 28%?

Because $\frac{28}{10} = 2.8$ , which is greater than 1! When you have more than a whole (like 2.8), your percentage will be over 100%. Think of it as having 2.8 whole units = 280%.

How do I know when a percentage will be over 100%?

When your fraction is improper (numerator larger than denominator), the percentage will exceed 100%. For example, $\frac{28}{10}$ has 28 > 10, so expect over 100%!

Can I convert this fraction a different way?

Yes! You can also think: "What do I multiply 10 by to get 100?" Answer: 10. So multiply both parts: $\frac{28 \times 10}{10 \times 10} = \frac{280}{100} = 280\%$

Is 280% the same as 2.8?

No! 280% means 280 out of 100, which equals 2.8 as a decimal. The % symbol changes the meaning completely. Always include the % when asked for a percentage!

What if I got 28% as my answer?

You probably forgot that $\frac{28}{10}$ doesn't equal 0.28. Remember: divide first (28 ÷ 10 = 2.8), then multiply by 100 for the percentage.

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