# 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.

2

2

#### Steps to Solve

1. 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.

1. 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.

$$\text{New numerator} = \frac{12}{6} = 2$$

$$\text{New denominator} = \frac{6}{6} = 1$$

1. Write the Simplified Fraction

Now, write the simplified fraction using the new numerator and denominator.

The simplified form of the fraction is:

$$\frac{2}{1}$$

1. Final Result

Since the denominator is 1, we can further express this as just 2.

2

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.
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