Convert Fraction to Percentage: Solving 20/10 Step-by-Step

Q: Why is the percentage bigger than 100%?

When a fraction is greater than 1 (like $ \frac{20}{10} = 2 $), the percentage will be greater than 100%. This means you have more than the whole amount - in this case, twice as much!

Q: Do I always need to simplify the fraction first?

It's not required, but it makes the math much easier! You could calculate $ \frac{20}{10} \times 100 = \frac{2000}{10} = 200\% $ directly, but simplifying to 2 first is quicker.

Q: How do I remember to multiply by 100?

Think of it this way: percent means "per hundred". So you're asking "how many per hundred?" To find this, you multiply your decimal or whole number by 100.

Q: What if I get a decimal when I simplify?

That's fine! For example, $ \frac{15}{10} = 1.5 $, so the percentage would be $ 1.5 \times 100 = 150\% $. Just multiply whatever you get by 100.

Q: Can a percentage be more than 200%?

Absolutely! If you had $ \frac{30}{10} = 3 $, that would be 300%. There's no upper limit to percentages - they can be as large as the original fraction allows.

Fraction to Percentage with Improper Fractions

Convert the fraction $\frac{20}{10}$ into a percentage.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert fractions to percentages

00:05 To convert a fraction to a percentage, the denominator needs to be 100

00:10 The percentage is the numerator (X)

00:20 Apply this formula to our exercise

00:26 Multiply both the numerator and denominator by 10 to obtain a denominator equal to 100

00:36 Proceed to calculate

00:46 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the fraction $\frac{20}{10}$ into a percentage.

Step-by-step solution

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

Step 1: Simplify the fraction, if possible.
Step 2: Convert the simplified fraction into a percentage by multiplying by 100.

Let's work through the steps:
Step 1: Simplify the fraction $\frac{20}{10}$ . Divide both the numerator and the denominator by 10, leading to $\frac{2}{1} = 2$ .
Step 2: Convert this whole number into a percentage. Multiply by 100 to get $2 \times 100 = 200\%$ .

Therefore, the original fraction $\frac{20}{10}$ is equivalent to 200%.

Final Answer

200%

Key Points to Remember

Essential concepts to master this topic

Simplification: Reduce fractions before converting to make calculations easier
Technique: Multiply by 100: $\frac{20}{10} \times 100 = 200\%$
Check: Verify 200% = 2, which equals our simplified fraction ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100 when converting to percentage
Don't just simplify $\frac{20}{10} = 2$ and think that's the percentage! This gives you 2% instead of 200%. Always multiply your decimal or whole number result by 100 to convert to percentage form.

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 is the percentage bigger than 100%?

When a fraction is greater than 1 (like $\frac{20}{10} = 2$ ), the percentage will be greater than 100%. This means you have more than the whole amount - in this case, twice as much!

Do I always need to simplify the fraction first?

It's not required, but it makes the math much easier! You could calculate $\frac{20}{10} \times 100 = \frac{2000}{10} = 200\%$ directly, but simplifying to 2 first is quicker.

How do I remember to multiply by 100?

Think of it this way: percent means "per hundred". So you're asking "how many per hundred?" To find this, you multiply your decimal or whole number by 100.

What if I get a decimal when I simplify?

That's fine! For example, $\frac{15}{10} = 1.5$ , so the percentage would be $1.5 \times 100 = 150\%$ . Just multiply whatever you get by 100.

Can a percentage be more than 200%?

Absolutely! If you had $\frac{30}{10} = 3$ , that would be 300%. There's no upper limit to percentages - they can be as large as the original fraction allows.

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