Calculate the Fraction 2 over 50 as a Percentage: Step-by-Step Solution

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

Percentage means 'per hundred'! When you convert $ \frac{2}{50} $ to decimal (0.04), you need to express this as parts per 100. Multiplying by 100 converts 0.04 to 4 parts per 100, which is 4%.

Q: Can I simplify the fraction first before converting?

Absolutely! Simplifying $ \frac{2}{50} = \frac{1}{25} $ makes the division easier. Then $ \frac{1}{25} = 0.04 $, and 0.04 × 100 = 4%.

Q: What if I get a decimal percentage like 4.5%?

Decimal percentages are perfectly normal! For example, $ \frac{9}{200} = 0.045 = 4.5\% $. Just make sure to include the decimal point in your final answer.

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

Yes! You can use the formula directly: $ \frac{\text{numerator}}{\text{denominator}} \times 100\% $. For $ \frac{2}{50} $, that's $ \frac{2 \times 100}{50} = \frac{200}{50} = 4\% $.

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's find out what 2 is as a percentage of 50.

00:08 First, we use the percentage formula.

00:12 Divide 2 by 50, then multiply the result by 100.

00:21 Simplify by breaking down and reducing if possible.

00:30 And that's how you find the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

Calculate 2 over 50 as a percentage:

2

Step-by-step solution

To solve the problem of converting $\frac{2}{50}$ to a percentage, we will follow these steps:

Step 1: Identify the 'part' and the 'whole' from the given fraction. Here, the 'part' is 2, and the 'whole' is 50.
Step 2: Apply the formula to convert the fraction to a percentage: $\frac{\text{Part}}{\text{Whole}} \times 100\%$ .
Step 3: Perform the calculation by substituting the given values into the formula.

Now, let's work through each step:

Step 1: From the fraction $\frac{2}{50}$ , we identify 2 as the 'part' and 50 as the 'whole'.

Step 2: We'll use the formula $\frac{\text{Part}}{\text{Whole}} \times 100\%$ to find the percentage:

Step 3: Substituting the values into the formula, we have:

\frac{2}{50} \times 100\% = \left(\frac{2}{50}\right) \times 100 = \frac{200}{50} = 4\%

Therefore, the fraction 2 over 50 as a percentage is 4%.

3

Final Answer

4%

Key Points to Remember

Essential concepts to master this topic

Formula: Divide the numerator by denominator, then multiply by 100
Technique: $\frac{2}{50} = 0.04 \times 100 = 4\%$
Check: 4% of 50 equals 2, so $\frac{4}{100} \times 50 = 2$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100 after converting to decimal
Don't stop at 0.04 when converting $\frac{2}{50}$ = wrong answer of 0.04! This gives a decimal, not a percentage. Always multiply the decimal by 100 to get the percentage: 0.04 × 100 = 4%.

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?

+

Percentage means 'per hundred'! When you convert $\frac{2}{50}$ to decimal (0.04), you need to express this as parts per 100. Multiplying by 100 converts 0.04 to 4 parts per 100, which is 4%.

Can I simplify the fraction first before converting?

+

Absolutely! Simplifying $\frac{2}{50} = \frac{1}{25}$ makes the division easier. Then $\frac{1}{25} = 0.04$ , and 0.04 × 100 = 4%.

What if I get a decimal percentage like 4.5%?

+

Decimal percentages are perfectly normal! For example, $\frac{9}{200} = 0.045 = 4.5\%$ . Just make sure to include the decimal point in your final answer.

Is there a shortcut for converting fractions to percentages?

+

Yes! You can use the formula directly: $\frac{\text{numerator}}{\text{denominator}} \times 100\%$ . For $\frac{2}{50}$ , that's $\frac{2 \times 100}{50} = \frac{200}{50} = 4\%$ .

How can I check if my percentage is reasonable?

+

Think about it logically! Since 2 is a small part of 50, the percentage should be small too. 4% makes sense because it's much less than 50% (which would be half).

🌟 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

Calculate the Fraction 2 over 50 as a Percentage: Step-by-Step Solution

Fraction to Percentage with Decimal Division

❤️ Continue Your Math Journey!