Convert 4/20 to a Percentage: Step-by-Step Solution

Q: Can I simplify the fraction first before converting?

Absolutely! $ \frac{4}{20} = \frac{1}{5} $, so $ \frac{1}{5} \times 100 = 20\% $. Simplifying first often makes calculations easier!

Q: What if I get a decimal percentage like 16.5%?

That's perfectly normal! Many fractions convert to decimal percentages. Just write it as 16.5% - no need to convert to a fraction of a percent.

Q: Is there another way to convert fractions to percentages?

Yes! You can also divide the numerator by the denominator to get a decimal (4 ÷ 20 = 0.2), then multiply by 100 (0.2 × 100 = 20%).

Q: How do I check if 20% is really equal to 4/20?

Convert the percentage back to a fraction: 20% = 20/100 = 1/5. Since 4/20 also simplifies to 1/5, they're equal!

Fraction to Percentage with Multiplication Method

Given the fraction $\frac{4}{20}$ convert it into percentages

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert fractions to percentages

00:04 To convert a fraction to a percentage, multiply the fraction by 100

00:09 Break down 100 into factors of 20 and 5

00:23 Simplify wherever possible

00:25 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Given the fraction $\frac{4}{20}$ convert it into percentages

Step-by-step solution

To convert the fraction $\frac{4}{20}$ into a percentage, we follow these steps:

Step 1: Multiply the fraction by 100 to convert it into a percentage.

Now, let's calculate:
First, we multiply the numerator by 100:

$4 \times 100 = 400$

Then, we divide by the denominator:

$\frac{400}{20} = 20$

Therefore, the fraction $\frac{4}{20}$ converted into a percentage is $20\%$ .

Final Answer

20%

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply fraction by 100 to convert to percentage
Technique: Calculate $\frac{4}{20} \times 100 = \frac{400}{20} = 20\%$
Check: Verify that 20% of 20 equals 4: 0.20 × 20 = 4 ✓

Common Mistakes

Avoid these frequent errors

Adding 100 instead of multiplying by 100
Don't add 100 to the fraction like $\frac{4}{20} + 100 = 100.2$ ! This gives a meaningless result over 100%. Always multiply the entire fraction by 100 to get the correct percentage.

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

$\frac{2}{100}=\text{?}$

FAQ

Everything you need to know about this question

Why do I multiply by 100 instead of dividing?

Multiplying by 100 converts the decimal form to percentage! Since percent means 'per hundred', you need to scale your fraction to show how many parts out of 100.

Can I simplify the fraction first before converting?

Absolutely! $\frac{4}{20} = \frac{1}{5}$ , so $\frac{1}{5} \times 100 = 20\%$ . Simplifying first often makes calculations easier!

What if I get a decimal percentage like 16.5%?

That's perfectly normal! Many fractions convert to decimal percentages. Just write it as 16.5% - no need to convert to a fraction of a percent.

Is there another way to convert fractions to percentages?

Yes! You can also divide the numerator by the denominator to get a decimal (4 ÷ 20 = 0.2), then multiply by 100 (0.2 × 100 = 20%).

How do I check if 20% is really equal to 4/20?

Convert the percentage back to a fraction: 20% = 20/100 = 1/5. Since 4/20 also simplifies to 1/5, they're equal!

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