Convert Fraction 125/1000 to Percentage: Step-by-Step Solution

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

Percentage means "per hundred" - so you're finding how many parts out of 100. Multiplying by 100 converts your fraction to this "out of 100" form.

Q: Can I simplify the fraction first before converting?

Yes! $ \frac{125}{1000} = \frac{1}{8} $ when simplified. Then $ \frac{1}{8} \times 100 = 12.5% $. Either method gives the same answer!

Q: What if I get a decimal percentage like 12.5%?

Decimal percentages are completely normal! 12.5% means 12 and a half percent - it's a valid percentage just like whole number percentages.

Q: How do I know if 12.5% makes sense?

Think logically: $ \frac{125}{1000} $ is less than $ \frac{1000}{1000} $ (which is 100%), so your percentage should be less than 100%. 12.5% fits perfectly!

Q: Can I convert by moving the decimal point?

Yes! First convert to decimal: $ \frac{125}{1000} = 0.125 $. Then move decimal point 2 places right: 0.125 becomes 12.5%.

Fraction to Percentage with Decimal Results

Write the fraction $\frac{125}{1000}$ as 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 Multiply the fraction by 100 in order to convert to a percentage

00:22 Break down 1000 into factors of 100 and 10

00:27 Simplify wherever possible

00:36 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Write the fraction $\frac{125}{1000}$ as a percentage

Step-by-step solution

To convert the fraction $\frac{125}{1000}$ into a percentage, we'll follow these steps:

Step 1: Identify the given fraction, which is $\frac{125}{1000}$ .
Step 2: Use the conversion formula to convert the fraction to a percentage by multiplying by 100.
Step 3: Perform the calculation.

Let's go through the calculation:
Step 1: We have the fraction $\frac{125}{1000}$ .
Step 2: To convert this to a percentage, we multiply by 100:
$\left(\frac{125}{1000}\right) \times 100 = \frac{125 \times 100}{1000}$
Step 3: Simplify the expression:
First, calculate $125 \times 100 = 12500$ .
Then divide by 1000: $\frac{12500}{1000} = 12.5$ .
Thus, $\frac{125}{1000}$ as a percentage is $12.5\%$ .

Therefore, the fraction $\frac{125}{1000}$ is equivalent to 12.5%.

Final Answer

12.5%

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply fraction by 100 to convert to percentage
Technique: $\frac{125}{1000} \times 100 = \frac{12500}{1000} = 12.5$
Check: Convert back: 12.5% = 0.125 = $\frac{125}{1000}$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100
Don't just convert $\frac{125}{1000}$ to 0.125 and call it done = missing the % conversion! A decimal and percentage are different forms. Always multiply by 100 to get the percentage value.

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction $\frac{75}{100}$

to a percentage:

FAQ

Everything you need to know about this question

Why do I multiply by 100 to get a percentage?

Percentage means "per hundred" - so you're finding how many parts out of 100. Multiplying by 100 converts your fraction to this "out of 100" form.

Can I simplify the fraction first before converting?

Yes! $\frac{125}{1000} = \frac{1}{8}$ when simplified. Then $\frac{1}{8} \times 100 = 12.5%$ . Either method gives the same answer!

What if I get a decimal percentage like 12.5%?

Decimal percentages are completely normal! 12.5% means 12 and a half percent - it's a valid percentage just like whole number percentages.

How do I know if 12.5% makes sense?

Think logically: $\frac{125}{1000}$ is less than $\frac{1000}{1000}$ (which is 100%), so your percentage should be less than 100%. 12.5% fits perfectly!

Can I convert by moving the decimal point?

Yes! First convert to decimal: $\frac{125}{1000} = 0.125$ . Then move decimal point 2 places right: 0.125 becomes 12.5%.

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