Convert Fraction to Percentage: Solving 3.75/10

Q: Why do I get 0.375 when I divide 3.75 by 10?

When dividing by 10, you move the decimal point one place left. So 3.75 becomes 0.375. This is the same as $ 3.75 \div 10 $.

Q: Can I simplify the fraction before converting?

Yes! $ \frac{3.75}{10} = \frac{375}{1000} = \frac{3}{8} $ after simplifying. Then $ \frac{3}{8} = 0.375 = 37.5\% $. Both methods work!

Q: What if I forget to multiply by 100?

You'll get the decimal form instead of the percentage. For example, 0.375 instead of 37.5%. Remember: decimal × 100 = percentage.

Q: How do I know if 37.5% makes sense?

Think logically: $ \frac{3.75}{10} $ is less than half (since 3.75

Q: Can I use a calculator for this?

Absolutely! Just enter 3.75 ÷ 10 = 0.375, then multiply by 100. Calculators help avoid arithmetic errors, especially with decimals.

Fraction to Percentage with Decimal Numerators

Convert the fraction to a percentage:

$\frac{3.75}{10}=\text{?}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert the fraction into a percentage

00:05 A fraction with a denominator equal to 100 is equal to the numerator in percentage form (X)

00:10 We will use this formula in our exercise

00:25 Multiply the numerator and denominator by 10 in order to obtain a denominator equal to 100

00:35 Proceed to calculate

00:45 Here 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:

$\frac{3.75}{10}=\text{?}$

Step-by-step solution

To convert the fraction $\frac{3.75}{10}$ into a percentage, we follow these steps:

Step 1: Divide the numerator by the denominator.
We calculate $3.75 \div 10 = 0.375$ .
Step 2: Convert the resulting decimal to a percentage.
Multiply by 100: $0.375 \times 100 = 37.5$ .
Step 3: Append the percentage symbol: $37.5\%$ .

Therefore, the fraction $\frac{3.75}{10}$ converts to 37.5%.

Final Answer

37.5%

Key Points to Remember

Essential concepts to master this topic

Rule: Divide numerator by denominator, then multiply by 100
Technique: Calculate $3.75 \div 10 = 0.375$ , then $0.375 \times 100 = 37.5\%$
Check: Convert back: $37.5\% = 0.375 = \frac{3.75}{10}$ ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point incorrectly when converting to percentage
Don't just move the decimal two places in the original fraction = gets 375%! This skips the division step and gives a wildly wrong answer. Always divide first to get the decimal, then multiply by 100.

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 get 0.375 when I divide 3.75 by 10?

When dividing by 10, you move the decimal point one place left. So 3.75 becomes 0.375. This is the same as $3.75 \div 10$ .

Can I simplify the fraction before converting?

Yes! $\frac{3.75}{10} = \frac{375}{1000} = \frac{3}{8}$ after simplifying. Then $\frac{3}{8} = 0.375 = 37.5\%$ . Both methods work!

What if I forget to multiply by 100?

You'll get the decimal form instead of the percentage. For example, 0.375 instead of 37.5%. Remember: decimal × 100 = percentage.

How do I know if 37.5% makes sense?

Think logically: $\frac{3.75}{10}$ is less than half (since 3.75 < 5), so the percentage should be less than 50%. 37.5% fits perfectly!

Can I use a calculator for this?

Absolutely! Just enter 3.75 ÷ 10 = 0.375, then multiply by 100. Calculators help avoid arithmetic errors, especially with decimals.

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