Convert 1/8 into a Percentage: Simple Fraction Calculation

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

Percent means "per hundred" - so you need to find how many parts out of 100. Multiplying $ \frac{1}{8} $ by 100 tells you how many hundredths it equals!

Q: Can I just divide 1 by 8 and add a % sign?

Not quite! If you divide 1 ÷ 8 = 0.125, that's the decimal form. You still need to multiply by 100 to get 12.5% because percentages show parts per hundred.

Q: What if I get a repeating decimal?

Some fractions like $ \frac{1}{3} $ give repeating decimals (33.333...%). You can either round to a reasonable number of places or express as a mixed number like 33⅓%.

Q: Is there a shortcut for common fractions?

Yes! Memorize these: $ \frac{1}{4} $ = 25%, $ \frac{1}{2} $ = 50%, $ \frac{3}{4} $ = 75%. For $ \frac{1}{8} $, remember it's half of $ \frac{1}{4} $, so 12.5%!

Q: How do I check if my percentage is reasonable?

Think logically: $ \frac{1}{8} $ is less than $ \frac{1}{4} $ (25%), so your answer should be less than 25%. Since 12.5%

Fraction to Percentage with Division Conversion

Convert the following fraction into a percentage:

$\frac{1}{8}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's learn how to convert fractions into percentages!

00:09 To change a fraction into a percentage, just multiply the fraction by one hundred. For example, if you have one half, multiply it by one hundred to get fifty percent.

00:22 And there you have it! That's how you solve it.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the following fraction into a percentage:

$\frac{1}{8}$

Step-by-step solution

To convert the fraction $\frac{1}{8}$ into a percentage, we follow these steps:

Step 1: Start with the fraction given in the problem: $\frac{1}{8}$ .

Step 2: To convert this fraction to a percentage, multiply the fraction by 100:

$\frac{1}{8} \times 100 = \frac{100}{8}$ .

Step 3: Simplify or calculate the result:

$\frac{100}{8} = 12.5$ .

Therefore, $\frac{1}{8}$ converted to a percentage is 12.5%.

So, the answer to the problem is 12.5%.

Final Answer

12.5%

Key Points to Remember

Essential concepts to master this topic

Rule: To convert fraction to percentage, multiply by 100
Technique: Calculate $\frac{1}{8} \times 100 = \frac{100}{8} = 12.5$
Check: Verify 12.5% = 0.125 = $\frac{1}{8}$ ✓

Common Mistakes

Avoid these frequent errors

Converting fraction to decimal first, then rounding incorrectly
Don't convert $\frac{1}{8}$ to 0.1 instead of 0.125 = 10% instead of 12.5%! Rounding too early loses precision and gives wrong percentages. Always do exact division: 1 ÷ 8 = 0.125, then multiply by 100.

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

$\frac{24}{100}=\text{?}$

FAQ

Everything you need to know about this question

Why do I multiply by 100 to get a percentage?

Percent means "per hundred" - so you need to find how many parts out of 100. Multiplying $\frac{1}{8}$ by 100 tells you how many hundredths it equals!

Can I just divide 1 by 8 and add a % sign?

Not quite! If you divide 1 ÷ 8 = 0.125, that's the decimal form. You still need to multiply by 100 to get 12.5% because percentages show parts per hundred.

What if I get a repeating decimal?

Some fractions like $\frac{1}{3}$ give repeating decimals (33.333...%). You can either round to a reasonable number of places or express as a mixed number like 33⅓%.

Is there a shortcut for common fractions?

Yes! Memorize these: $\frac{1}{4}$ = 25%, $\frac{1}{2}$ = 50%, $\frac{3}{4}$ = 75%. For $\frac{1}{8}$ , remember it's half of $\frac{1}{4}$ , so 12.5%!

How do I check if my percentage is reasonable?

Think logically: $\frac{1}{8}$ is less than $\frac{1}{4}$ (25%), so your answer should be less than 25%. Since 12.5% < 25%, it makes sense!

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