Simplify the Fraction 6/24 to Get a Denominator of 8

Q: Why can't I just put any number over 8?

The fraction must have the same value as the original! $ \frac{6}{24} = \frac{1}{4} $, so only $ \frac{2}{8} $ equals $ \frac{1}{4} $ when simplified.

Q: How can I check if my answer is correct?

Convert both fractions to decimals or cross-multiply! $ \frac{6}{24} = 0.25 $ and $ \frac{2}{8} = 0.25 $, so they're equivalent.

Q: What's the easiest way to find the right numerator?

Use the same division! Whatever you divide the denominator by, divide the numerator by the same number. It's like reducing both parts of the fraction equally.

Fraction Simplification with Specific Denominators

Simplify the following fraction to the denominator 8:

$\frac{6}{24}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Reduce the fraction to denominator 8

00:03 Divide the fraction by the appropriate factor

00:07 Make sure to divide both numerator and denominator

00:10 Calculate the quotients

00:13 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Simplify the following fraction to the denominator 8:

$\frac{6}{24}$

Step-by-step solution

Let's look at the denominator of the fraction. We'll try to find a number that, when divided by 24, gives us a result of 8:

$\frac{6:3}{24:3}=\frac{2}{8}$

Final Answer

$\frac{2}{8}$

Key Points to Remember

Essential concepts to master this topic

Rule: Find the common factor that transforms the original denominator
Technique: Divide both numerator and denominator by 3: $\frac{6÷3}{24÷3}=\frac{2}{8}$
Check: Verify equivalent fractions: $\frac{6}{24} = \frac{2}{8} = \frac{1}{4}$ ✓

Common Mistakes

Avoid these frequent errors

Changing only the denominator without adjusting the numerator
Don't just change 24 to 8 and keep 6 as the numerator = $\frac{6}{8}$ ! This creates a completely different fraction value. Always divide both top and bottom by the same number to maintain equivalent value.

Practice Quiz

Test your knowledge with interactive questions

Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

$$ 5:6= $$

FAQ

Everything you need to know about this question

How do I know what number to divide by?

Look at what you need to divide the original denominator by to get your target denominator. Since 24 ÷ 3 = 8, you divide both numerator and denominator by 3.

What if the denominator doesn't divide evenly?

If 24 doesn't divide evenly to give your target denominator, then the fraction cannot be simplified to that specific denominator. Check if the target denominator is achievable first!

Why can't I just put any number over 8?

The fraction must have the same value as the original! $\frac{6}{24} = \frac{1}{4}$ , so only $\frac{2}{8}$ equals $\frac{1}{4}$ when simplified.

How can I check if my answer is correct?

Convert both fractions to decimals or cross-multiply! $\frac{6}{24} = 0.25$ and $\frac{2}{8} = 0.25$ , so they're equivalent.

What's the easiest way to find the right numerator?

Use the same division! Whatever you divide the denominator by, divide the numerator by the same number. It's like reducing both parts of the fraction equally.

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