Convert 8.24/10 into a Percentage Quickly and Easily

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

A percentage means "per hundred" or "out of 100". When you multiply by 100, you're converting your fraction to show how many parts out of 100 it represents.

Q: Can I just move the decimal point two places?

Be careful! This shortcut only works for fractions with denominator 1. For $ \frac{8.24}{10} $, you must multiply the entire fraction by 100 first.

Q: What if the numerator has more decimal places?

No problem! The method stays the same. Multiply by 100: $ \frac{8.245}{10} \times 100 = 82.45% $. The decimal places will be preserved in your percentage.

Q: How do I check if 82.4% is correct?

Convert back to decimal: 82.4% ÷ 100 = 0.824. Then check: $ \frac{8.24}{10} = 0.824 $ ✓ They match!

Q: Does this work for any denominator?

Yes! Whether it's $ \frac{8.24}{10} $, $ \frac{8.24}{5} $, or $ \frac{8.24}{25} $, always multiply the entire fraction by 100 to get the percentage.

Fraction to Percentage with Decimal Numerators

Convert the fraction into a percentage:

$\frac{8.24}{10}=\text{?}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert a fraction to a percentage

00:05 A fraction with a denominator equal to 100 equals the numerator in percentage form (X)

00:10 Apply this formula to our exercise

00:20 Multiply both the numerator and denominator by 10 to obtain a denominator equal to 100

00:33 Proceed to calculate

00:46 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the fraction into a percentage:

$\frac{8.24}{10}=\text{?}$

Step-by-step solution

To solve this problem, we'll convert the fraction $\frac{8.24}{10}$ into a percentage by following these steps:

Step 1: Identify the fraction given in the problem: $\frac{8.24}{10}$ .
Step 2: To convert this fraction into a percentage, we need to multiply it by 100, since a percentage is simply a fraction over 100.

Now, let's perform the conversion:

Multiply $\frac{8.24}{10}$ by 100:

$\frac{8.24}{10} \times 100 = 8.24 \times 10 = 82.4$

Thus, $\frac{8.24}{10}$ as a percentage is $82.4\%$ .

Therefore, the solution to the problem is 82.4%.

Final Answer

82.4%

Key Points to Remember

Essential concepts to master this topic

Rule: To convert any fraction to percentage, multiply by 100
Technique: $\frac{8.24}{10} \times 100 = 8.24 \times 10 = 82.4$
Check: Verify 82.4% equals 0.824 as decimal: $\frac{8.24}{10} = 0.824$ ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point incorrectly when multiplying by 100
Don't just move the decimal two places without understanding = 8240% instead of 82.4%! This ignores the denominator entirely. Always multiply the entire fraction by 100: $\frac{8.24}{10} \times 100$ .

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?

A percentage means "per hundred" or "out of 100". When you multiply by 100, you're converting your fraction to show how many parts out of 100 it represents.

Can I just move the decimal point two places?

Be careful! This shortcut only works for fractions with denominator 1. For $\frac{8.24}{10}$ , you must multiply the entire fraction by 100 first.

What if the numerator has more decimal places?

No problem! The method stays the same. Multiply by 100: $\frac{8.245}{10} \times 100 = 82.45%$ . The decimal places will be preserved in your percentage.

How do I check if 82.4% is correct?

Convert back to decimal: 82.4% ÷ 100 = 0.824. Then check: $\frac{8.24}{10} = 0.824$ ✓ They match!

Does this work for any denominator?

Yes! Whether it's $\frac{8.24}{10}$ , $\frac{8.24}{5}$ , or $\frac{8.24}{25}$ , always multiply the entire fraction by 100 to get the percentage.

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