Convert Fraction to Percentage: Transform 8/50 to Percent Form

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

Percentage means 'per hundred', so you need to show how many parts out of 100. When you have $ \frac{8}{50} = 0.16 $, multiplying by 100 converts this to 16 parts out of 100, which is 16%.

Q: Can I convert the fraction to have 100 in the denominator instead?

Yes! You can multiply both numerator and denominator by 2: $ \frac{8 \times 2}{50 \times 2} = \frac{16}{100} = 16\% $. This method works great when the denominator divides evenly into 100.

Q: What if I get a decimal percentage like 16.5%?

That's completely normal! Not all fractions convert to whole number percentages. Just include the decimal in your final answer, like 16.5% or 33.33%.

Q: How do I know if 0.16 equals 16%?

Remember that 0.16 = 16/100, and percentages are parts per hundred. So 0.16 = 16/100 = 16%. The decimal moves two places right when converting to percentage!

Q: What's the fastest way to convert 8/50 to a percentage?

Notice that 50 × 2 = 100, so multiply both parts by 2: $ \frac{8 \times 2}{50 \times 2} = \frac{16}{100} = 16\% $. This shortcut works when the denominator is a factor of 100!

Fraction to Percentage with Decimal Conversion

Write the fraction $\frac{8}{50}$ as 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 Multiply the fraction by 100 in order to convert to a percentage

00:15 Break down 100 into factors of 50 and 2

00:23 Simplify wherever possible

00:29 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Write the fraction $\frac{8}{50}$ as a percentage

Step-by-step solution

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

Step 1: Identify the given fraction $\frac{8}{50}$ .
Step 2: Convert this fraction into a percentage using the formula.
Step 3: Calculate the percentage.

Now, let's work through each step:

Step 1: We have the fraction $\frac{8}{50}$ .

Step 2: To convert it to a percentage, use the formula:

\text{Percentage} = \left( \frac{8}{50} \right) \times 100

Step 3: Calculate the percentage:
First, simplify the fraction: $\frac{8}{50} = 0.16$ .
Multiply by 100 to get the percentage: $0.16 \times 100 = 16$ .

Therefore, the fraction $\frac{8}{50}$ is equivalent to 16% when converted to a percentage.

Final Answer

16%

Key Points to Remember

Essential concepts to master this topic

Rule: Convert fraction to decimal first, then multiply by 100
Technique: Divide 8 ÷ 50 = 0.16, then 0.16 × 100 = 16%
Check: 16% as fraction is 16/100 = 8/50 when simplified ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100 after getting the decimal
Don't stop at 8 ÷ 50 = 0.16 and call it your final answer = missing the percentage conversion! A decimal like 0.16 is not the same as 16%. Always multiply your decimal 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 need to multiply by 100 to get a percentage?

Percentage means 'per hundred', so you need to show how many parts out of 100. When you have $\frac{8}{50} = 0.16$ , multiplying by 100 converts this to 16 parts out of 100, which is 16%.

Can I convert the fraction to have 100 in the denominator instead?

Yes! You can multiply both numerator and denominator by 2: $\frac{8 \times 2}{50 \times 2} = \frac{16}{100} = 16\%$ . This method works great when the denominator divides evenly into 100.

What if I get a decimal percentage like 16.5%?

That's completely normal! Not all fractions convert to whole number percentages. Just include the decimal in your final answer, like 16.5% or 33.33%.

How do I know if 0.16 equals 16%?

Remember that 0.16 = 16/100, and percentages are parts per hundred. So 0.16 = 16/100 = 16%. The decimal moves two places right when converting to percentage!

What's the fastest way to convert 8/50 to a percentage?

Notice that 50 × 2 = 100, so multiply both parts by 2: $\frac{8 \times 2}{50 \times 2} = \frac{16}{100} = 16\%$ . This shortcut works when the denominator is a factor of 100!

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