Simplify Fraction 12/18 to a Denominator of 6

Fraction Simplification with Specified Denominators

Simplify the fraction below to the denominator 6:

1218 \frac{12}{18}

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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 of 6
00:03 Divide the fraction by the appropriate factor
00:06 Make sure to divide both numerator and denominator
00:10 Calculate the quotients
00:14 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Simplify the fraction below to the denominator 6:

1218 \frac{12}{18}

2

Step-by-step solution

Let's look at the denominator of the fraction. We'll try to find a number that, when divided by 18, gives us a result of 6:

12:318:3=46 \frac{12:3}{18:3}=\frac{4}{6}

3

Final Answer

46 \frac{4}{6}

Key Points to Remember

Essential concepts to master this topic
  • Rule: Find common factor to divide both numerator and denominator
  • Technique: Divide 12÷3 = 4 and 18÷3 = 6 to get 46 \frac{4}{6}
  • Check: Verify equivalent fractions: 1218=46=23 \frac{12}{18} = \frac{4}{6} = \frac{2}{3}

Common Mistakes

Avoid these frequent errors
  • Converting denominator without adjusting numerator proportionally
    Don't just change 18 to 6 and keep numerator as 12 = 126 \frac{12}{6} which equals 2, not 23 \frac{2}{3} ! This creates a completely different value. Always divide both numerator and denominator by the same number.

Practice Quiz

Test your knowledge with interactive questions

Simplify the following fraction by a factor of 4:

\( \frac{4}{8}= \)

FAQ

Everything you need to know about this question

How do I know what number to divide by?

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Find what number you need to divide the original denominator by to get your target denominator. Here: 18 ÷ ? = 6, so ? = 3. Then divide both numerator and denominator by 3.

What if the original denominator doesn't divide evenly into the target?

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The target denominator must be a factor of the original denominator for this method to work. If 6 wasn't a factor of 18, you'd need to find equivalent fractions using multiplication instead.

Can I simplify further after getting 4/6?

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Yes! 46 \frac{4}{6} can be simplified to 23 \frac{2}{3} by dividing both by 2. But since the question asks specifically for denominator 6, 46 \frac{4}{6} is the correct answer.

How can I check if my answer is equivalent to the original?

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Cross-multiply to verify: 12×6=72 12 \times 6 = 72 and 18×4=72 18 \times 4 = 72 . Since both products equal 72, the fractions are equivalent!

Why can't the answer be 5/6 or 18/6?

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56 \frac{5}{6} and 186 \frac{18}{6} are not equivalent to 1218 \frac{12}{18} . Use cross-multiplication to check: 12×618×5 12 \times 6 \neq 18 \times 5 and 12×618×18 12 \times 6 \neq 18 \times 18 .

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