Calculate Fraction to Percentage: Converting 8/80 to Percent Form

Q: Why should I simplify the fraction before converting to percentage?

Simplifying makes the calculation much easier! Working with $ \frac{1}{10} $ instead of $ \frac{8}{80} $ gives you cleaner numbers and reduces chance of arithmetic errors.

Q: How do I know what number to divide both parts by?

Find the Greatest Common Factor (GCF) of the numerator and denominator. For 8 and 80, the GCF is 8, so divide both by 8: $ \frac{8÷8}{80÷8} = \frac{1}{10} $.

Q: Can I just use a calculator to divide 8 by 80?

Yes! $ 8 ÷ 80 = 0.1 $, then multiply by 100 to get 10%. This decimal method works great, but understanding fractions helps you recognize patterns faster.

Q: What if my fraction doesn't simplify to nice numbers?

That's okay! Some fractions like $ \frac{7}{80} $ give decimals like 8.75%. Just round appropriately based on what the problem asks for.

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

Use estimation! Since $ \frac{8}{80} $ is close to $ \frac{10}{100} $ (which is 10%), your answer of 10% makes perfect sense.

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:03 Let's calculate, 8 as a percentage of 80.

00:09 We'll use the percentage formula, there's a simple trick!

00:15 First, divide 8 by 80, then multiply the result by 100.

00:22 Try breaking it down into factors, and reduce, if you can.

00:52 And there you go, that's your solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

Calculate 8 over 80 as a percentage:

2

Step-by-step solution

Let's solve the problem by expressing $8$ as a percentage of $80$ .

We use the formula for percentage:

\text{Percentage} = \left(\frac{\text{part}}{\text{whole}}\right) \times 100\%

Step 1: Identify the part and the whole. Here, the part is $8$ and the whole is $80$ .
Step 2: Substitute these values into the formula to find the percentage:

\text{Percentage} = \left(\frac{8}{80}\right) \times 100\%

Step 3: Simplify the fraction $\frac{8}{80}$ . The fraction simplifies to $\frac{1}{10}$ because both the numerator and denominator are divisible by $8$ .
Step 4: Multiply by 100 to convert to a percentage:

\left(\frac{1}{10}\right) \times 100\% = 10\%

This computation confirms that $8$ over $80$ is indeed 10%.

3

Final Answer

10%

Key Points to Remember

Essential concepts to master this topic

Formula: Percentage = (part/whole) × 100% for any fraction
Technique: Simplify $\frac{8}{80}$ to $\frac{1}{10}$ before multiplying by 100
Check: Convert back: 10% = 0.10, and 0.10 × 80 = 8 ✓

Common Mistakes

Avoid these frequent errors

Converting without simplifying the fraction first
Don't calculate $\frac{8}{80} \times 100$ directly as 800 ÷ 80 = 10%! While this works, you're making harder calculations. Always simplify $\frac{8}{80}$ to $\frac{1}{10}$ first, then multiply by 100 for easier mental math.

Practice Quiz

Test your knowledge with interactive questions

Calculate 15% of 100:

FAQ

Everything you need to know about this question

Why should I simplify the fraction before converting to percentage?

+

Simplifying makes the calculation much easier! Working with $\frac{1}{10}$ instead of $\frac{8}{80}$ gives you cleaner numbers and reduces chance of arithmetic errors.

How do I know what number to divide both parts by?

+

Find the Greatest Common Factor (GCF) of the numerator and denominator. For 8 and 80, the GCF is 8, so divide both by 8: $\frac{8÷8}{80÷8} = \frac{1}{10}$ .

Can I just use a calculator to divide 8 by 80?

+

Yes! $8 ÷ 80 = 0.1$ , then multiply by 100 to get 10%. This decimal method works great, but understanding fractions helps you recognize patterns faster.

What if my fraction doesn't simplify to nice numbers?

+

That's okay! Some fractions like $\frac{7}{80}$ give decimals like 8.75%. Just round appropriately based on what the problem asks for.

How can I check if my percentage is reasonable?

+

Use estimation! Since $\frac{8}{80}$ is close to $\frac{10}{100}$ (which is 10%), your answer of 10% makes perfect sense.

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