Convert Fraction to Percentage: Calculate 20/25 as a Percentage

Q: Can I simplify the fraction first before converting?

Absolutely! $ \frac{20}{25} = \frac{4}{5} $ is easier to work with. Then $ \frac{4}{5} = 0.8 $, and 0.8 × 100 = 80%.

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

Percentage means "per hundred" or out of 100. When you multiply by 100, you're converting your decimal to show how many parts out of 100.

Q: What if my decimal doesn't end nicely?

That's okay! For example, $ \frac{1}{3} = 0.333... $ becomes 33.33% (rounded). Just round to a reasonable number of decimal places.

Q: Can I convert any fraction to a percentage this way?

Yes! This method works for all fractions: divide numerator by denominator, then multiply by 100. Even improper fractions work (you'll get percentages over 100%).

Fraction Conversion with Percentage Calculation

Calculate 20 over 25 as a percentage:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's calculate 20 as a percentage of 25.

00:08 We use the formula for finding percentages.

00:14 First, divide 20 by 25, and then multiply the result by 100.

00:24 Try breaking it down into factors to simplify.

00:31 And there you go, that's the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 20 over 25 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: Convert the result into a percentage by multiplying by 100.
Step 3: Compare with multiple-choice options for confirmation.

Now, let's work through each step:
Step 1: Divide 20 by 25:
$\frac{20}{25} = 0.8$
Step 2: Multiply by 100 to convert to a percentage:
$0.8 \times 100 = 80\%$

Therefore, the fraction $\frac{20}{25}$ expressed as a percentage is 80%.

Final Answer

80%

Key Points to Remember

Essential concepts to master this topic

Division Rule: Divide numerator by denominator to get decimal
Conversion Method: Multiply decimal by 100: 0.8 × 100 = 80%
Verification: Check that 80% of 25 equals 20: 25 × 0.8 = 20 ✓

Common Mistakes

Avoid these frequent errors

Multiplying the original fraction by 100
Don't multiply 20/25 directly by 100 to get 2000/25 = 80%! This works by accident but shows wrong understanding. Always convert to decimal first (20 ÷ 25 = 0.8), 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

Can I simplify the fraction first before converting?

Absolutely! $\frac{20}{25} = \frac{4}{5}$ is easier to work with. Then $\frac{4}{5} = 0.8$ , and 0.8 × 100 = 80%.

Why do I multiply by 100 to get a percentage?

Percentage means "per hundred" or out of 100. When you multiply by 100, you're converting your decimal to show how many parts out of 100.

What if my decimal doesn't end nicely?

That's okay! For example, $\frac{1}{3} = 0.333...$ becomes 33.33% (rounded). Just round to a reasonable number of decimal places.

Can I convert any fraction to a percentage this way?

Yes! This method works for all fractions: divide numerator by denominator, then multiply by 100. Even improper fractions work (you'll get percentages over 100%).

How do I check if my percentage is correct?

Convert back! Take your percentage, divide by 100 to get a decimal, then multiply by the original denominator. You should get the numerator: 80% → 0.8 → 0.8 × 25 = 20 ✓

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