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

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

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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