Convert Fraction 38/10 to Percentage: Step-by-Step Solution

Q: Why is 38/10 equal to 380% and not 38%?

Because $ \frac{38}{10} = 3.8 $ as a decimal, which means 3.8 whole units. When you multiply by 100 to get percentage, you get 380%. Remember: percentages over 100% represent values greater than 1 whole!

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

Look at your fraction first! If the numerator is bigger than the denominator (like 38 > 10), your fraction is greater than 1, so the percentage will be over 100%.

Q: Can I convert the fraction to a mixed number first?

You could convert $ \frac{38}{10} $ to $ 3\frac{8}{10} $, but it's easier to work directly with the improper fraction. Just divide and multiply by 100!

Q: What if I get confused about the decimal placement?

Remember the pattern: divide first, then multiply by 100. So $ 38 \div 10 = 3.8 $, then $ 3.8 \times 100 = 380 $. The decimal moves two places right when multiplying by 100.

Q: How can I check if 380% is reasonable?

Think about it: $ \frac{38}{10} $ means 38 pieces when 10 pieces = 1 whole. Since 38 > 10, you have more than 3 wholes, so 380% (which is 3.8 wholes) makes sense!

Fraction to Percentage with Improper Fractions

Convert the fraction $\frac{38}{10}$ 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

00:42 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the fraction $\frac{38}{10}$ to a percentage:

Step-by-step solution

To convert the fraction $\frac{38}{10}$ into a percentage, follow these steps:

Step 1: Divide the numerator by the denominator to convert to a decimal.
- Calculate: $38 \div 10 = 3.8$ .
Step 2: Multiply the decimal by 100 to convert to a percentage.
- Calculate: $3.8 \times 100 = 380$ .

The fraction $\frac{38}{10}$ as a percentage is therefore $380\%$ .

The correct answer is 380%, which corresponds to Choice $2$ .

Final Answer

380%

Key Points to Remember

Essential concepts to master this topic

Rule: Divide numerator by denominator, then multiply by 100
Technique: $38 \div 10 = 3.8$ , then $3.8 \times 100 = 380\%$
Check: Convert back: $380\% \div 100 = 3.8 = \frac{38}{10}$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply decimal by 100
Don't stop at the decimal form 3.8 = incomplete conversion! This gives you the decimal equivalent but not the percentage. Always multiply your 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 is 38/10 equal to 380% and not 38%?

Because $\frac{38}{10} = 3.8$ as a decimal, which means 3.8 whole units. When you multiply by 100 to get percentage, you get 380%. Remember: percentages over 100% represent values greater than 1 whole!

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

Look at your fraction first! If the numerator is bigger than the denominator (like 38 > 10), your fraction is greater than 1, so the percentage will be over 100%.

Can I convert the fraction to a mixed number first?

You could convert $\frac{38}{10}$ to $3\frac{8}{10}$ , but it's easier to work directly with the improper fraction. Just divide and multiply by 100!

What if I get confused about the decimal placement?

Remember the pattern: divide first, then multiply by 100. So $38 \div 10 = 3.8$ , then $3.8 \times 100 = 380$ . The decimal moves two places right when multiplying by 100.

How can I check if 380% is reasonable?

Think about it: $\frac{38}{10}$ means 38 pieces when 10 pieces = 1 whole. Since 38 > 10, you have more than 3 wholes, so 380% (which is 3.8 wholes) makes sense!

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