8 divided by 12 in fraction
Understand the Problem
The question is asking to express the result of dividing 8 by 12 as a fraction. This involves simplifying the fraction to its lowest terms if possible.
Answer
$ \frac{2}{3} $
Answer for screen readers
The result of dividing 8 by 12, expressed as a simplified fraction, is $ \frac{2}{3} $.
Steps to Solve
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Set up the fraction
To represent the division of 8 by 12 as a fraction, we write it as:
$$ \frac{8}{12} $$ -
Find the greatest common divisor (GCD)
To simplify the fraction, we need to find the GCD of the numerator (8) and the denominator (12).
The factors of 8 are: 1, 2, 4, 8
The factors of 12 are: 1, 2, 3, 4, 6, 12
The greatest common factor is 4. -
Divide the numerator and denominator by the GCD
Now, divide both the numerator and the denominator by the GCD (4):
$$ \frac{8 \div 4}{12 \div 4} = \frac{2}{3} $$ -
Final fraction
The fraction $ \frac{8}{12} $ simplifies to $ \frac{2}{3} $.
The result of dividing 8 by 12, expressed as a simplified fraction, is $ \frac{2}{3} $.
More Information
The fraction $ \frac{2}{3} $ represents the simplest form of the division of 8 by 12. In practical terms, this means that if you divided something into 12 equal parts, taking 8 parts would be the same as taking two-thirds of it.
Tips
- Failing to simplify the fraction and leaving it as $ \frac{8}{12} $.
- Confusing the GCD with the least common multiple (LCM).
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