what is 12/9 in simplest form
Understand the Problem
The question is asking for the simplest form of the fraction 12/9. To solve this, we will divide both the numerator and the denominator by their greatest common divisor (GCD).
Answer
The simplest form of the fraction is $ \frac{4}{3} $.
Answer for screen readers
The simplest form of the fraction is $ \frac{4}{3} $.
Steps to Solve
- Find the GCD of the numerator and denominator
To simplify the fraction $ \frac{12}{9} $, we first need to find the greatest common divisor (GCD) of the numbers 12 and 9. The factors of 12 are 1, 2, 3, 4, 6, and 12, while the factors of 9 are 1, 3, and 9. The largest common factor is 3.
- Divide the numerator and denominator by the GCD
Now, we divide both the numerator and the denominator by their GCD, which is 3.
$$ \frac{12 \div 3}{9 \div 3} = \frac{4}{3} $$
- Write the final simplified fraction
The simplest form of the fraction $ \frac{12}{9} $ is $ \frac{4}{3} $.
The simplest form of the fraction is $ \frac{4}{3} $.
More Information
Simplifying fractions is useful in solving many mathematical problems, allowing you to work with easier numbers. In this case, both the numerator and the denominator were divisible by their GCD, which helped to reduce the fraction to its simplest form.
Tips
- Forgetting to find the GCD correctly can lead to an incorrect simplification. Always double-check the factors of each number.
- Dividing only one part of the fraction instead of both the numerator and denominator.
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