Convert Fraction to Percentage: Solving 68/10000

Q: Can I simplify the fraction first before converting?

Yes! You can divide both numerator and denominator by their GCD. $ \frac{68}{10000} = \frac{17}{2500} $, but the percentage stays the same: 0.68%.

Q: How do I remember to multiply by 100?

Think of it this way: percent means "per hundred". So you need to show how many parts per 100, which requires multiplying your decimal by 100.

Q: What if I get confused by all the zeros?

Count carefully! $ \frac{68}{10000} $ has four zeros in the denominator, so your decimal will have the decimal point moved 4 places to the left: 0.0068.

Q: Is there a shortcut for fractions with denominators like 100 or 1000?

Yes! For $ \frac{n}{100} $, the percentage is just n%. For $ \frac{n}{1000} $, it's n/10%, and for $ \frac{n}{10000} $, it's n/100%.

Fraction to Percentage with Small Decimals

Write the fraction $\frac{68}{10000}$ as a percentage

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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.

00:11 To do this, multiply the fraction by 100.

00:18 Next, break down ten thousand into factors of one hundred times one hundred.

00:24 Now, simplify wherever you can. This makes it easier.

00:34 And there you have it. That's how we find the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Write the fraction $\frac{68}{10000}$ as a percentage

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Divide the numerator by the denominator to convert the fraction to a decimal.
Step 2: Multiply the resulting decimal by 100 to convert it to a percentage.

Now, let's work through each step:
Step 1: Convert the fraction to a decimal by dividing:
$\frac{68}{10000} = 0.0068$

Step 2: Convert the decimal to a percentage by multiplying by 100:
$0.0068 \times 100 = 0.68 \%$

Therefore, the solution to the problem is $0.68\%$ .

Final Answer

0.68%

Key Points to Remember

Essential concepts to master this topic

Method: Divide numerator by denominator, then multiply by 100
Calculation: $\frac{68}{10000} = 0.0068 \times 100 = 0.68\%$
Verification: Convert back: 0.68% ÷ 100 = 0.0068 = $\frac{68}{10000}$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100 after converting to decimal
Don't stop at 0.0068 as your final answer = missing the percentage conversion! This gives you the decimal form, 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 $\frac{75}{100}$

to a percentage:

FAQ

Everything you need to know about this question

Why is my answer so small compared to the other choices?

When you have a large denominator like 10,000, the resulting percentage will be very small. $\frac{68}{10000}$ represents only 68 parts out of 10,000, which is less than 1%!

Can I simplify the fraction first before converting?

Yes! You can divide both numerator and denominator by their GCD. $\frac{68}{10000} = \frac{17}{2500}$ , but the percentage stays the same: 0.68%.

How do I remember to multiply by 100?

Think of it this way: percent means "per hundred". So you need to show how many parts per 100, which requires multiplying your decimal by 100.

What if I get confused by all the zeros?

Count carefully! $\frac{68}{10000}$ has four zeros in the denominator, so your decimal will have the decimal point moved 4 places to the left: 0.0068.

Is there a shortcut for fractions with denominators like 100 or 1000?

Yes! For $\frac{n}{100}$ , the percentage is just n%. For $\frac{n}{1000}$ , it's n/10%, and for $\frac{n}{10000}$ , it's n/100%.

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