What is 4/12 in simplest form?
Understand the Problem
The question is asking to simplify the fraction 4/12 to its simplest form. To do this, we will find the greatest common divisor (GCD) of the numerator and the denominator and divide both by that number.
Answer
The simplified form of $\frac{4}{12}$ is $\frac{1}{3}$.
Answer for screen readers
The final simplified form of the fraction $\frac{4}{12}$ is $\frac{1}{3}$.
Steps to Solve
- Identify the numerator and denominator
The fraction is given as $\frac{4}{12}$. Here, the numerator is 4 and the denominator is 12.
- Find the greatest common divisor (GCD)
To simplify the fraction, we need to find the GCD of 4 and 12. The factors of 4 are 1, 2, and 4, and the factors of 12 are 1, 2, 3, 4, 6, and 12. The largest common factor is 4.
- Divide both the numerator and denominator by the GCD
Now, we divide both the numerator and the denominator by the GCD:
- Numerator: $4 \div 4 = 1$
- Denominator: $12 \div 4 = 3$
So, the simplified fraction is $\frac{1}{3}$.
The final simplified form of the fraction $\frac{4}{12}$ is $\frac{1}{3}$.
More Information
When you simplify fractions, you're essentially reducing them to their most basic form. Finding the GCD is a crucial step in this process. The fraction $\frac{1}{3}$ represents the same value as $\frac{4}{12}$, but in its simplest terms.
Tips
- Not finding the GCD correctly: Ensure that you identify the correct highest common factor.
- Forgetting to divide both parts of the fraction: Always remember to apply the GCD to both the numerator and denominator.
AI-generated content may contain errors. Please verify critical information
