Convert the Fraction 3/20 to a Percentage: A Detailed Calculation Guide

Q: Why do I multiply by 100 instead of dividing?

Percent means "per hundred", so multiplying by 100 shows how many parts out of 100. When you multiply $ \frac{3}{20} \times 100 $, you're finding how many hundredths equal your fraction!

Q: Can I convert to decimal first, then to percentage?

Yes! $ \frac{3}{20} = 0.15 $, then move the decimal point two places right to get 15%. Both methods give the same answer.

Q: How do I know when my percentage is simplified?

Your percentage is complete when you have a whole number or simple decimal followed by the % symbol. Since 15 is a whole number, 15% is fully simplified.

Q: What if I get a weird decimal when dividing?

Sometimes fractions create repeating decimals. For example, $ \frac{1}{3} = 33.33...% $. Round to a reasonable number of decimal places or leave as a fraction if needed.

Q: Why is 30% wrong if 3×10=30?

That's multiplying by 10, not 100! Remember: percentage = fraction × 100. So $ \frac{3}{20} \times 100 = 15% $, not $ \frac{3}{20} \times 10 = 1.5 $.

Fraction to Percentage with Direct Multiplication

Given the fraction $\frac{3}{20}$ convert it into percentages

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's convert fractions into percentages.

00:08 Remember, when you divide a number by 100, you get a percentage.

00:14 Now, let's apply this formula to our exercise.

00:19 Multiply both the top and bottom by 5 to get a fraction over 100.

00:35 And there you go! That's how we solve this problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Given the fraction $\frac{3}{20}$ convert it into percentages

Step-by-step solution

To solve this problem, we'll convert the fraction $\frac{3}{20}$ into a percentage using the following steps:

Step 1: Identify the fraction we need to convert: $\frac{3}{20}$ .
Step 2: Convert the fraction to a percentage by multiplying by 100: $\frac{3}{20} \times 100 = \frac{300}{20}$ .
Step 3: Simplify $\frac{300}{20}$ by dividing 300 by 20. This yields $15$ .

Therefore, the fraction $\frac{3}{20}$ converts to 15%.

The correct answer choice is: 15%.

Final Answer

15%

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply fraction by 100 to convert to percentage
Technique: Calculate $\frac{3}{20} \times 100 = \frac{300}{20} = 15$
Check: Convert back: 15% = 0.15 = $\frac{15}{100} = \frac{3}{20}$ ✓

Common Mistakes

Avoid these frequent errors

Converting fraction to decimal first, then rounding incorrectly
Don't convert $\frac{3}{20}$ to 0.150 then round to 0.2 = 20%! This creates unnecessary rounding errors. Always multiply the fraction directly by 100: $\frac{3}{20} \times 100 = 15%$ .

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

$\frac{24}{100}=\text{?}$

FAQ

Everything you need to know about this question

Why do I multiply by 100 instead of dividing?

Percent means "per hundred", so multiplying by 100 shows how many parts out of 100. When you multiply $\frac{3}{20} \times 100$ , you're finding how many hundredths equal your fraction!

Can I convert to decimal first, then to percentage?

Yes! $\frac{3}{20} = 0.15$ , then move the decimal point two places right to get 15%. Both methods give the same answer.

How do I know when my percentage is simplified?

Your percentage is complete when you have a whole number or simple decimal followed by the % symbol. Since 15 is a whole number, 15% is fully simplified.

What if I get a weird decimal when dividing?

Sometimes fractions create repeating decimals. For example, $\frac{1}{3} = 33.33...%$ . Round to a reasonable number of decimal places or leave as a fraction if needed.

Why is 30% wrong if 3×10=30?

That's multiplying by 10, not 100! Remember: percentage = fraction × 100. So $\frac{3}{20} \times 100 = 15%$ , not $\frac{3}{20} \times 10 = 1.5$ .

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