Convert the Fraction 13/130 to a Percentage: A Step-by-Step Approach

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

A percentage means "per hundred" or out of 100. When you multiply a fraction by 100, you're finding how many parts out of 100 it represents!

Q: Can I simplify the fraction before converting?

Yes! Notice that $ \frac{13}{130} = \frac{1}{10} $ since both numbers divide by 13. Then $ \frac{1}{10} \times 100 = 10\% $ is easier to calculate.

Q: How can I check if 10% is correct?

Convert 10% back to a fraction: $ 10\% = \frac{10}{100} = \frac{1}{10} $. Then check if $ \frac{1}{10} = \frac{13}{130} $ by cross-multiplying: 1 × 130 = 10 × 13 ✓

Q: Is there a shortcut for fractions with denominators ending in zero?

Yes! When the denominator is a multiple of 10 (like 130), you can often simplify first. Here, $ \frac{13}{130} = \frac{1}{10} = 10\% $ immediately!

Fraction to Percentage with Simplification

Calculate 13 over 130 as a percentage:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Calculate 13 as a percentage of 130

00:03 Apply the formula for calculate percentages

00:11 Divide the first number by the second number and proceed to multiply by 100

00:23 Break down into factors and reduce 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

Calculate 13 over 130 as a percentage:

Step-by-step solution

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

Step 1: Identify the given fraction.
Step 2: Use the conversion formula for percentage.
Step 3: Perform the multiplication and simplification.

Now, let's work through each step:

Step 1: The given fraction is $\frac{13}{130}$ .

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

$\frac{13}{130} \times 100$

Step 3: Calculate the result:

$\frac{13}{130} \times 100 = \frac{1300}{130} = 10$

Thus, when $\frac{13}{130}$ is converted to a percentage, it results in $10\%$ .

Therefore, the solution to the problem is $10\%$ , which corresponds to choice 2.

Final Answer

10%

Key Points to Remember

Essential concepts to master this topic

Formula: Multiply fraction by 100 to get percentage
Technique: $\frac{13}{130} \times 100 = \frac{1300}{130} = 10$
Check: Verify 10% equals original fraction: $\frac{10}{100} = \frac{1}{10} = \frac{13}{130}$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100
Don't just divide 13 by 130 and stop = 0.1 as your final answer! This gives you the decimal form, not a percentage. Always multiply by 100 to convert the decimal to a percentage.

Practice Quiz

Test your knowledge with interactive questions

Calculate 30 over 100 as a percentage:

FAQ

Everything you need to know about this question

Why do I multiply by 100 to convert to a percentage?

A percentage means "per hundred" or out of 100. When you multiply a fraction by 100, you're finding how many parts out of 100 it represents!

Can I simplify the fraction before converting?

Yes! Notice that $\frac{13}{130} = \frac{1}{10}$ since both numbers divide by 13. Then $\frac{1}{10} \times 100 = 10\%$ is easier to calculate.

What if I get a decimal answer instead of a whole number?

That's completely normal! Many fractions convert to decimal percentages like 12.5% or 33.33%. Just make sure to round appropriately if needed.

How can I check if 10% is correct?

Convert 10% back to a fraction: $10\% = \frac{10}{100} = \frac{1}{10}$ . Then check if $\frac{1}{10} = \frac{13}{130}$ by cross-multiplying: 1 × 130 = 10 × 13 ✓

Is there a shortcut for fractions with denominators ending in zero?

Yes! When the denominator is a multiple of 10 (like 130), you can often simplify first. Here, $\frac{13}{130} = \frac{1}{10} = 10\%$ immediately!

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