Convert Fraction to Percentage: Calculate 13/20 as a Percentage

Q: Why do I need to divide first instead of just multiplying by 100?

You need the decimal value first! Fractions like $ \frac{13}{20} $ show a relationship, but percentages need the actual decimal amount (0.65) before converting to percentage form.

Q: Can I convert by finding an equivalent fraction with 100 as denominator?

Yes! You can multiply both parts: $ \frac{13}{20} \times \frac{5}{5} = \frac{65}{100} = 65\% $. This method works when the denominator divides evenly into 100.

Q: What if my calculator shows more decimal places like 0.6500?

Those extra zeros don't change the value! 0.65 and 0.6500 are exactly the same, so both give you 65% when multiplied by 100.

Q: How do I know if 65% is reasonable for 13/20?

Think about it: $ \frac{13}{20} $ is more than half (since $ \frac{10}{20} = 50\% $) but less than $ \frac{15}{20} = 75\% $. So 65% makes perfect sense!

Q: Do I always multiply by exactly 100?

Yes, always 100! The word 'percent' literally means 'per hundred', so multiplying by 100 converts any decimal to its percentage equivalent.

Fraction to Percentage with Two-Step Conversion

Calculate 13 over 20 as a percentage:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:03 Let's calculate thirteen as a percentage of twenty.

00:07 First, use the formula to find percentages.

00:15 Divide thirteen by twenty, and then multiply by one hundred.

00:21 Break it down into factors, and simplify if possible.

00:29 And that's the solution! Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 13 over 20 as a percentage:

Step-by-step solution

To convert the fraction $\frac{13}{20}$ into a percentage, we need to follow these steps:

Step 1: Divide the numerator 13 by the denominator 20 to get a decimal:

\ \ \frac{13}{20} = 0.65

Step 2: Multiply the resulting decimal by 100 to convert it into a percentage:

\ \ 0.65 \times 100 = 65\%

Thus, the fraction $\frac{13}{20}$ is equivalent to $\textbf{65\%}$ when expressed as a percentage.

Final Answer

65%

Key Points to Remember

Essential concepts to master this topic

Rule: Divide numerator by denominator to get decimal first
Technique: Convert $\frac{13}{20} = 0.65$ then multiply by 100
Check: Verify 65% = 0.65 = $\frac{13}{20}$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply decimal by 100
Don't stop at 0.65 and call that your percentage = wrong answer! A decimal like 0.65 means 65 hundredths, but percentages need the % symbol. Always multiply your decimal by 100 to convert to percentage form.

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 need to divide first instead of just multiplying by 100?

You need the decimal value first! Fractions like $\frac{13}{20}$ show a relationship, but percentages need the actual decimal amount (0.65) before converting to percentage form.

Can I convert by finding an equivalent fraction with 100 as denominator?

Yes! You can multiply both parts: $\frac{13}{20} \times \frac{5}{5} = \frac{65}{100} = 65\%$ . This method works when the denominator divides evenly into 100.

What if my calculator shows more decimal places like 0.6500?

Those extra zeros don't change the value! 0.65 and 0.6500 are exactly the same, so both give you 65% when multiplied by 100.

How do I know if 65% is reasonable for 13/20?

Think about it: $\frac{13}{20}$ is more than half (since $\frac{10}{20} = 50\%$ ) but less than $\frac{15}{20} = 75\%$ . So 65% makes perfect sense!

Do I always multiply by exactly 100?

Yes, always 100! The word 'percent' literally means 'per hundred', so multiplying by 100 converts any decimal to its percentage equivalent.

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