What is the simplest form of 4/12?
Understand the Problem
The question is asking for the simplest form of the fraction 4/12. To find this, we need to simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 12 is 4. Dividing both the numerator and denominator by 4 will give us the simplest form.
Answer
The simplest form of the fraction $\frac{4}{12}$ is $\frac{1}{3}$.
Answer for screen readers
The simplest form of the fraction $\frac{4}{12}$ is $\frac{1}{3}$.
Steps to Solve
- Identify the GCD To simplify the fraction $\frac{4}{12}$, we first need to find the greatest common divisor (GCD) of the numerator (4) and the denominator (12).
The GCD of 4 and 12 is 4.
- Divide the Numerator and Denominator Now, we will divide both the numerator and the denominator by the GCD we found.
For the numerator: $$ 4 \div 4 = 1 $$
For the denominator: $$ 12 \div 4 = 3 $$
- Write the Simplified Fraction After dividing, we can write the simplified fraction as: $$ \frac{1}{3} $$
The simplest form of the fraction $\frac{4}{12}$ is $\frac{1}{3}$.
More Information
The simplification of fractions is an essential skill in mathematics. It allows us to express fractions in their simplest and most efficient form, making calculations easier and clearer.
Tips
- Forgetting to divide both parts: Always divide both the numerator and the denominator by the GCD to maintain the value of the fraction.
- Choosing the wrong GCD: Make sure to accurately determine the GCD before proceeding with the division.
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