What is 2/12 in simplest form?
Understand the Problem
The question is asking to simplify the fraction 2/12 to its simplest form. This involves finding the greatest common divisor of the numerator and denominator and then dividing both by this number.
Answer
The simplest form of the fraction is $\frac{1}{6}$.
Answer for screen readers
The simplest form of the fraction $\frac{2}{12}$ is $\frac{1}{6}$.
Steps to Solve
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Identify the fraction We have the fraction $\frac{2}{12}$ that needs to be simplified.
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Find the greatest common divisor (GCD) To simplify the fraction, we need to determine the GCD of the numerator (2) and the denominator (12). The factors of 2 are $1, 2$, and the factors of 12 are $1, 2, 3, 4, 6, 12$. The greatest common factor is 2.
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Divide the numerator and denominator by the GCD Now, we will divide both the numerator and the denominator by the GCD:
- For the numerator: $2 \div 2 = 1$
- For the denominator: $12 \div 2 = 6$
- Write the simplified fraction After dividing, the simplified fraction is $\frac{1}{6}$.
The simplest form of the fraction $\frac{2}{12}$ is $\frac{1}{6}$.
More Information
Simplifying fractions helps to express values in their most basic form, making calculations easier. In this case, $\frac{2}{12}$ reduces to $\frac{1}{6}$, which means for every 6 parts, 1 part is represented.
Tips
- Mistake of not finding the GCD correctly. Always list the factors or use the Euclidean algorithm to ensure accuracy.
- Sometimes people forget to divide both the numerator and denominator by the GCD; remember, both must be reduced equally.
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