12/6 in simplest form
Understand the Problem
The question is asking to simplify the fraction 12/6 to its simplest form. To do this, we need to divide both the numerator and the denominator by their greatest common divisor, which is 6 in this case.
Answer
2
Answer for screen readers
2
Steps to Solve
- Identify the Greatest Common Divisor (GCD)
To simplify the fraction, first identify the greatest common divisor of the numerator (12) and the denominator (6).
The GCD of 12 and 6 is 6.
- Divide the Numerator and Denominator by the GCD
Next, divide both the numerator and the denominator by the GCD you found in the previous step.
$$ \text{New numerator} = \frac{12}{6} = 2 $$
$$ \text{New denominator} = \frac{6}{6} = 1 $$
- Write the Simplified Fraction
Now, write the simplified fraction using the new numerator and denominator.
The simplified form of the fraction is:
$$ \frac{2}{1} $$
- Final Result
Since the denominator is 1, we can further express this as just 2.
2
More Information
Simplifying a fraction makes it easier to understand and work with. The fraction 12/6 simplifies to 2, which indicates that for every 2 parts of one quantity, there are 6 parts of another quantity, showing a complete ratio.
Tips
- Not correctly identifying the GCD.
- Forgetting to simplify both the numerator and denominator.
- Overlooking that a fraction with a denominator of 1 is essentially the numerator alone.