Convert 2/10 to a Percentage: A Guided Breakdown

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

Percent means "per hundred" - so you're finding how many parts out of 100. Multiplying by 100 converts your fraction to this per hundred format!

Q: Can I simplify the fraction first before converting?

Yes! $ \frac{2}{10} = \frac{1}{5} $, and $ \frac{1}{5} \times 100 = 20\% $. Both methods give the same answer, so use whichever feels easier!

Q: What if I get a decimal when I multiply by 100?

That's normal! For example, $ \frac{1}{3} \times 100 = 33.33...\% $. You can round to a reasonable number of decimal places or leave it as an exact decimal.

Q: Is there a shortcut for fractions with 10 in the denominator?

Yes! With denominator 10, just move the numerator's decimal point two places right. So $ \frac{2}{10} $ becomes 2.0 → 20%.

Q: How do I check if my percentage is reasonable?

Ask yourself: "Is this fraction more or less than half?" $ \frac{2}{10} $ is less than $ \frac{5}{10} $ (50%), so 20% makes sense!

Fraction to Percentage with Decimal Conversion

Convert the following fraction into a percentage:

$\frac{2}{10}=\text{?}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:06 Let's convert fractions into percentages.

00:11 If a fraction has one hundred as the denominator, the numerator is the percentage.

00:18 Now, let's use this formula in our example.

00:23 Multiply the numerator and denominator by ten, so the denominator becomes one hundred.

00:33 Alright, let's do the calculation.

00:38 And that's how we find the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the following fraction into a percentage:

$\frac{2}{10}=\text{?}$

Step-by-step solution

To solve this problem, we'll convert the fraction $\frac{2}{10}$ to a percentage by multiplying it by 100.

Step 1: Identify the fraction, which is $\frac{2}{10}$ .
Step 2: Multiply the fraction by 100 to convert it to a percentage:
$\frac{2}{10} \times 100 = 20$ .
Step 3: The result of the multiplication is 20, so the percentage is 20%.

Thus, converting $\frac{2}{10}$ to a percentage yields 20%.

Therefore, the solution to the problem is 20%, which corresponds to choice 3.

Final Answer

20%

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply any fraction by 100 to convert to percentage
Technique: $\frac{2}{10} \times 100 = 20$ gives direct percentage result
Check: Verify 20% equals original fraction: 20 ÷ 100 = $\frac{2}{10}$ ✓

Common Mistakes

Avoid these frequent errors

Adding 100 instead of multiplying by 100
Don't add 100 to the fraction ( $\frac{2}{10} + 100 = 100.2$ ) = nonsensical result! Adding changes the value completely instead of converting units. Always multiply the fraction by 100 to convert to percentage form.

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 to get a percentage?

Percent means "per hundred" - so you're finding how many parts out of 100. Multiplying by 100 converts your fraction to this per hundred format!

Can I simplify the fraction first before converting?

Yes! $\frac{2}{10} = \frac{1}{5}$ , and $\frac{1}{5} \times 100 = 20\%$ . Both methods give the same answer, so use whichever feels easier!

What if I get a decimal when I multiply by 100?

That's normal! For example, $\frac{1}{3} \times 100 = 33.33...\%$ . You can round to a reasonable number of decimal places or leave it as an exact decimal.

Is there a shortcut for fractions with 10 in the denominator?

Yes! With denominator 10, just move the numerator's decimal point two places right. So $\frac{2}{10}$ becomes 2.0 → 20%.

How do I check if my percentage is reasonable?

Ask yourself: "Is this fraction more or less than half?" $\frac{2}{10}$ is less than $\frac{5}{10}$ (50%), so 20% makes sense!

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