Convert Fraction to Percentage: Calculate 12/50 as a Percentage

Q: Why can't I just multiply the fraction by 100 directly?

Multiplying the fraction by 100 gives you 2400% instead of 24%! You need to convert to decimal first by dividing 12 ÷ 50 = 0.24, then multiply by 100.

Q: Is there a shortcut to convert fractions to percentages?

Yes! You can think of it as finding what the fraction equals out of 100. Since $ \frac{12}{50} = \frac{24}{100} $, the answer is 24%.

Q: What if the fraction doesn't divide evenly?

No problem! You might get a decimal like 0.333... Just round to a reasonable number of decimal places (usually 1-2) for your percentage, like 33.3%.

Q: How do I know if 24% seems reasonable for 12/50?

$ \frac{12}{50} $ is less than $ \frac{25}{50} $ (which is 50%), so 24% makes sense! Always check if your percentage seems reasonable compared to common fractions.

Q: Can I simplify the fraction first?

Absolutely! $ \frac{12}{50} = \frac{6}{25} $ might be easier to work with. Either way gives you the same answer: 6 ÷ 25 = 0.24 = 24%.

Fraction to Percentage with Decimal Division

Calculate 12 over 50 as a percentage:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Calculate 12 as a percentage of 50

00:03 Apply the formula to calculate percentages

00:08 Divide the first number by the second number and proceed to multiply by 100

00:18 Break down into factors and reduce wherever possible

00:28 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 12 over 50 as a percentage:

Step-by-step solution

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

Step 1: Divide the numerator by the denominator.
Step 2: Multiply the result by 100 to convert it into a percentage.

Now, let's work through each step:

Step 1: Divide 12 by 50.

$\frac{12}{50} = 0.24$

Step 2: Multiply the result by 100 to convert it to a percentage.

$0.24 \times 100 = 24\%$

Therefore, the solution to the problem is that $12$ over $50$ is $24\%$ . The correct choice is: :

24%

Final Answer

24%

Key Points to Remember

Essential concepts to master this topic

Rule: Divide numerator by denominator to get decimal first
Technique: Convert $\frac{12}{50} = 0.24$ then multiply by 100
Check: Verify 24% equals 0.24 which equals $\frac{12}{50}$ ✓

Common Mistakes

Avoid these frequent errors

Multiplying fraction by 100 before converting to decimal
Don't multiply $\frac{12}{50} \times 100 = \frac{1200}{50} = 2400\%$ ! This skips the decimal conversion step and gives a wildly incorrect answer. Always divide first to get the decimal (0.24), then multiply by 100.

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 can't I just multiply the fraction by 100 directly?

Multiplying the fraction by 100 gives you 2400% instead of 24%! You need to convert to decimal first by dividing 12 ÷ 50 = 0.24, then multiply by 100.

Is there a shortcut to convert fractions to percentages?

Yes! You can think of it as finding what the fraction equals out of 100. Since $\frac{12}{50} = \frac{24}{100}$ , the answer is 24%.

What if the fraction doesn't divide evenly?

No problem! You might get a decimal like 0.333... Just round to a reasonable number of decimal places (usually 1-2) for your percentage, like 33.3%.

How do I know if 24% seems reasonable for 12/50?

$\frac{12}{50}$ is less than $\frac{25}{50}$ (which is 50%), so 24% makes sense! Always check if your percentage seems reasonable compared to common fractions.

Can I simplify the fraction first?

Absolutely! $\frac{12}{50} = \frac{6}{25}$ might be easier to work with. Either way gives you the same answer: 6 ÷ 25 = 0.24 = 24%.

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