Simplify the Fraction 12/8: Step-by-Step Reduction

Fraction Simplification with Factor Division

Simplify the following fraction by a factor of 2:

128= \frac{12}{8}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Reduce the fraction by 2
00:03 Divide the fraction by the given factor
00:06 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
1

Understand the problem

Simplify the following fraction by a factor of 2:

128= \frac{12}{8}=

2

Step-by-step solution

Let's simplify as follows, we'll divide both the numerator by 2 and the denominator by 2:

12:28:2=64 \frac{12:2}{8:2}=\frac{6}{4}

3

Final Answer

64 \frac{6}{4}

Key Points to Remember

Essential concepts to master this topic
  • Rule: Divide both numerator and denominator by the same number
  • Technique: Divide 12÷2=6 and 8÷2=4 to get 64 \frac{6}{4}
  • Check: Verify 6×8 = 48 equals 4×12 = 48 ✓

Common Mistakes

Avoid these frequent errors
  • Dividing only the numerator or denominator
    Don't divide just 12 by 2 to get 68 \frac{6}{8} or just 8 by 2 to get 124 \frac{12}{4} ! This changes the fraction's value completely. Always divide both top and bottom by the same factor.

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

Why do I divide both parts by the same number?

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Dividing both numerator and denominator by the same number keeps the fraction's value unchanged. It's like cutting a pizza into smaller pieces - you still have the same amount!

What if the question asks to simplify by a different factor?

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Use whatever factor the question specifies! For example, if asked to simplify by 4, divide both 12 and 8 by 4 to get 32 \frac{3}{2} .

Can I simplify 64 \frac{6}{4} further?

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Yes! Since both 6 and 4 are divisible by 2, you can simplify to 32 \frac{3}{2} . But this question only asks for simplification by factor 2.

How do I know if I did it correctly?

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Cross-multiply to check: 6 × 8 should equal 4 × 12. Both give 48, so 64 \frac{6}{4} equals 128 \frac{12}{8} !

What does 'simplify by a factor' mean?

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It means divide both parts by that specific number. 'Factor of 2' means divide the top and bottom by 2, even if you could use other factors too.

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