Convert Fraction to Percentage: Solving 2/10 as a Percent

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

The word percentage means 'per hundred'! When you multiply by 100, you're showing how many parts out of 100 your fraction represents. So $ \frac{2}{10} $ becomes 20 out of 100, or 20%.

Q: Can I simplify the fraction first?

Yes! $ \frac{2}{10} = \frac{1}{5} $, and $ \frac{1}{5} \times 100 = 20 $. Either way gives you 20%. Use whichever method feels easier!

Q: How do I remember the difference between decimals and percentages?

Think of it this way: decimals are parts of 1, while percentages are parts of 100. So 0.2 means 2 tenths, but 20% means 20 out of 100!

Q: What if I get a fraction that doesn't divide evenly?

No problem! For example, $ \frac{1}{3} \times 100 = 33.33...% $ You can round to a reasonable number of decimal places, like 33.3%.

Q: Is there a shortcut for converting tenths to percentages?

Yes! Since tenths are already out of 10, just multiply the numerator by 10. So $ \frac{3}{10} = 30% $, $ \frac{7}{10} = 70% $, etc.

Fraction to Percentage with Decimal Conversion

Calculate 2 over 10 as a percentage:

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Calculate 2 as a percentage of 10

00:05 Apply the formula to calculate percentages

00:10 Divide the number by the second number and multiply by 100

00:19 Break it down into factors and reduce wherever possible

00:59 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 2 over 10 as a percentage:

Step-by-step solution

To solve the problem of converting the fraction $\frac{2}{10}$ into a percentage, we need to follow these steps:

Step 1: Recognize the given fraction, $\frac{2}{10}$ .
Step 2: Convert this fraction to a percentage by multiplying by 100, as percentage means "per hundred".
Step 3: Simplify the expression to find the percentage.

Now, let's execute these steps:
Step 1: We have $\frac{2}{10}$ .
Step 2: Multiply $\frac{2}{10}$ by 100 to convert it into a percentage:
$\left(\frac{2}{10}\right) \times 100 = \frac{200}{10}$ .
Step 3: Simplify $\frac{200}{10}$ to get 20.

Thus, $\frac{2}{10}$ expressed as 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 $\frac{2}{10} \times 100 = \frac{200}{10} = 20$
Check: Verify 20% equals 0.20 as decimal, same as $\frac{2}{10}$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100
Don't just divide 2 by 10 to get 0.2 and call it 0.2%! This gives the decimal value, not the percentage. A percentage means 'per hundred', so you need to multiply by 100. Always multiply the fraction by 100 to convert to percentage form.

Practice Quiz

Test your knowledge with interactive questions

Calculate 30 over 100 as a percentage:

FAQ

Everything you need to know about this question

Why do I multiply by 100 to get a percentage?

The word percentage means 'per hundred'! When you multiply by 100, you're showing how many parts out of 100 your fraction represents. So $\frac{2}{10}$ becomes 20 out of 100, or 20%.

Can I simplify the fraction first?

Yes! $\frac{2}{10} = \frac{1}{5}$ , and $\frac{1}{5} \times 100 = 20$ . Either way gives you 20%. Use whichever method feels easier!

How do I remember the difference between decimals and percentages?

Think of it this way: decimals are parts of 1, while percentages are parts of 100. So 0.2 means 2 tenths, but 20% means 20 out of 100!

What if I get a fraction that doesn't divide evenly?

No problem! For example, $\frac{1}{3} \times 100 = 33.33...%$ You can round to a reasonable number of decimal places, like 33.3%.

Is there a shortcut for converting tenths to percentages?

Yes! Since tenths are already out of 10, just multiply the numerator by 10. So $\frac{3}{10} = 30%$ , $\frac{7}{10} = 70%$ , etc.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Percentage questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime