Convert 5.28/10 into a Percentage: Learn How

Q: Why do I divide first instead of just multiplying by 10?

You must convert the fraction to decimal first! The fraction $ \frac{5.28}{10} $ equals 0.528, not 5.28. Only after getting 0.528 do you multiply by 100 to get 52.8%.

Q: Can I just move the decimal point to convert?

Only for dividing by 10, 100, 1000, etc. When dividing 5.28 by 10, move decimal one place left to get 0.528. Then multiply by 100 (move decimal two places right) for 52.8%.

Q: What if I get confused about which way to move the decimal?

Remember: dividing by 10 makes numbers smaller (decimal moves left), multiplying by 100 makes numbers larger (decimal moves right). Practice: 5.28 ÷ 10 = 0.528, then 0.528 × 100 = 52.8.

Q: How do I know if 52.8% makes sense as an answer?

Check reasonableness! Since $ \frac{5.28}{10} $ is about half of 10, the percentage should be around 50%. Our answer 52.8% is very close to 50%, so it makes sense!

Q: What's the difference between 0.528 and 52.8%?

They represent the same value in different forms! 0.528 is the decimal form, while 52.8% is the percentage form. To convert: decimal × 100 = percentage.

Fraction to Percentage with Decimal Numerators

Convert the fraction into a percentage:

$\frac{5.28}{10}=\text{?}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:07 Let's learn how to turn fractions into percentages.

00:12 If the fraction's bottom number is one hundred, the top number is the percentage.

00:17 We'll use this idea for our practice problem.

00:27 Multiply both parts of the fraction by ten to make the bottom number one hundred.

00:37 Now, let's calculate together!

00:42 And there you have it, that's how we find 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:

$\frac{5.28}{10}=\text{?}$

Step-by-step solution

To solve this problem, let's follow a series of steps:

Step 1: Convert the fraction to a decimal.
Step 2: Convert the decimal to a percentage.

Now, let's work through each step:

Step 1: The fraction given is $\frac{5.28}{10}$ .

To convert this fraction into a decimal, divide the numerator by the denominator:

$\frac{5.28}{10} = 0.528$

Step 2: Convert the decimal $0.528$ into a percentage.

To convert a decimal to a percentage, multiply by 100:

$0.528 \times 100 = 52.8$

Therefore, the fraction $\frac{5.28}{10}$ as a percentage is 52.8%.

As given in the answer choices, the correct answer is 52.8%, which matches the calculation we have performed.

Final Answer

52.8%

Key Points to Remember

Essential concepts to master this topic

Division Rule: Divide numerator by denominator to get decimal form
Technique: Convert $\frac{5.28}{10} = 0.528$ then multiply by 100
Check: Verify 52.8% = 0.528 when divided by 100 ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point incorrectly when dividing
Don't just move the decimal one place when dividing 5.28 by 10 = 0.528 becomes 5.28! This ignores the division completely. Always perform the actual division: 5.28 ÷ 10 = 0.528, then multiply by 100 for 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 by 10?

You must convert the fraction to decimal first! The fraction $\frac{5.28}{10}$ equals 0.528, not 5.28. Only after getting 0.528 do you multiply by 100 to get 52.8%.

Can I just move the decimal point to convert?

Only for dividing by 10, 100, 1000, etc. When dividing 5.28 by 10, move decimal one place left to get 0.528. Then multiply by 100 (move decimal two places right) for 52.8%.

What if I get confused about which way to move the decimal?

Remember: dividing by 10 makes numbers smaller (decimal moves left), multiplying by 100 makes numbers larger (decimal moves right). Practice: 5.28 ÷ 10 = 0.528, then 0.528 × 100 = 52.8.

How do I know if 52.8% makes sense as an answer?

Check reasonableness! Since $\frac{5.28}{10}$ is about half of 10, the percentage should be around 50%. Our answer 52.8% is very close to 50%, so it makes sense!

What's the difference between 0.528 and 52.8%?

They represent the same value in different forms! 0.528 is the decimal form, while 52.8% is the percentage form. To convert: decimal × 100 = percentage.

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