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}

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

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

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?

+

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?

+

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?

+

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?

+

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?

+

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 .

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Simple Fractions questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations