Reduce 12/18.
Understand the Problem
The question is asking to simplify the fraction 12/18 to its lowest terms. To do this, we will find the greatest common divisor (GCD) of the numerator and denominator and divide both by that number.
Answer
The simplified fraction is $ \frac{2}{3} $.
Answer for screen readers
The simplified fraction is $ \frac{2}{3} $.
Steps to Solve
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Find the GCD of the numerator and denominator
To simplify the fraction $ \frac{12}{18} $, we need to find the greatest common divisor (GCD) of 12 and 18.
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 18 are: 1, 2, 3, 6, 9, 18
The common factors are: 1, 2, 3, 6
The GCD is the largest common factor, which is 6. -
Divide the numerator and the denominator by the GCD
Now, divide both the numerator and the denominator by the GCD (6).
$$ \frac{12 \div 6}{18 \div 6} = \frac{2}{3} $$ -
Present the simplified fraction
The simplified form of the fraction $ \frac{12}{18} $ is now $ \frac{2}{3} $.
The simplified fraction is $ \frac{2}{3} $.
More Information
When simplifying fractions, it's essential to reduce them to their lowest terms for easier comprehension and calculation. The GCD approach is a standard method to achieve this.
Tips
- Failing to find the correct GCD can lead to incorrect simplification. Always check the factors carefully.
- Dividing only one part of the fraction without the other will result in an incorrect answer. Always divide both the numerator and the denominator by the GCD.
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