Calculate 8/50 as a Percentage: Fraction Conversion Problem

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

Percentage means 'per hundred' - it shows how many parts out of 100. When you have the decimal 0.16, multiplying by 100 converts it to 16 parts per 100, which is 16%.

Q: Can I simplify the fraction first before converting?

Yes! $ \frac{8}{50} $ simplifies to $ \frac{4}{25} $. Then 4 ÷ 25 = 0.16, and 0.16 × 100 = 16%. Either way works perfectly!

Q: What if I get a long decimal like 0.166666...?

Some fractions create repeating decimals. Round to a reasonable number of decimal places (usually 1-2), then multiply by 100. For example, 0.167 × 100 = 16.7%.

Q: How can I check if 16% is the right answer?

Convert back! 16% = $ \frac{16}{100} $. Simplify: $ \frac{16}{100} = \frac{8}{50} $ ✓. You get the original fraction back!

Q: Is there a shortcut for fractions with denominator 50?

Yes! Since 50 × 2 = 100, just multiply the numerator by 2. So $ \frac{8}{50} $ becomes 8 × 2 = 16%. This works for any denominator that's a factor of 100!

Fraction to Percentage with Division

Calculate 8 over 50 as a percentage:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's find 8 as a percentage of 50.

00:08 First, use the percentage formula: divide the first number by the second.

00:15 So, divide 8 by 50, then multiply by 100.

00:22 Break it into factors and simplify, if possible.

00:29 And there you have it, that's the answer!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 8 over 50 as a percentage:

Step-by-step solution

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

Step 1: Calculate the decimal representation of the fraction $\frac{8}{50}$ .
Step 2: Convert the decimal to a percentage by multiplying by 100.

Let's break down each step:

Step 1: First, perform the division to find the decimal equivalent of the fraction: $\frac{8}{50} = 0.16$

Step 2: Convert the decimal to a percentage by multiplying by 100: $0.16 \times 100 = 16\%$

Therefore, $\frac{8}{50}$ as a percentage is $16\%$ .

Final Answer

16%

Key Points to Remember

Essential concepts to master this topic

Rule: Divide numerator by denominator, then multiply by 100
Technique: Calculate 8 ÷ 50 = 0.16, then 0.16 × 100
Check: Convert back: 16% = 0.16 = 16/100 = 8/50 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100
Don't just divide 8 ÷ 50 = 0.16 and call it 0.16%! This gives a percentage 100 times smaller than correct. The decimal 0.16 equals 16 parts out of 100. Always multiply the decimal by 100 to get the percentage.

Practice Quiz

Test your knowledge with interactive questions

Calculate 15% of 100:

FAQ

Everything you need to know about this question

Why do I multiply by 100 to get a percentage?

Percentage means 'per hundred' - it shows how many parts out of 100. When you have the decimal 0.16, multiplying by 100 converts it to 16 parts per 100, which is 16%.

Can I simplify the fraction first before converting?

Yes! $\frac{8}{50}$ simplifies to $\frac{4}{25}$ . Then 4 ÷ 25 = 0.16, and 0.16 × 100 = 16%. Either way works perfectly!

What if I get a long decimal like 0.166666...?

Some fractions create repeating decimals. Round to a reasonable number of decimal places (usually 1-2), then multiply by 100. For example, 0.167 × 100 = 16.7%.

How can I check if 16% is the right answer?

Convert back! 16% = $\frac{16}{100}$ . Simplify: $\frac{16}{100} = \frac{8}{50}$ ✓. You get the original fraction back!

Is there a shortcut for fractions with denominator 50?

Yes! Since 50 × 2 = 100, just multiply the numerator by 2. So $\frac{8}{50}$ becomes 8 × 2 = 16%. This works for any denominator that's a factor of 100!

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