What is the lowest term of 3/6?
Understand the Problem
The question is asking for the simplest form of the fraction 3/6. To solve this, we need to divide both the numerator and the denominator by their greatest common divisor, which in this case is 3.
Answer
The simplest form of the fraction $\frac{3}{6}$ is $\frac{1}{2}$.
Answer for screen readers
The simplest form of the fraction $\frac{3}{6}$ is $\frac{1}{2}$.
Steps to Solve
- Identify the greatest common divisor (GCD)
The greatest common divisor (GCD) of 3 and 6 is 3. This is the largest number that can evenly divide both the numerator and denominator.
- Divide the numerator and the denominator by the GCD
To simplify the fraction, divide both the numerator (3) and the denominator (6) by the GCD (3):
$$ \frac{3 \div 3}{6 \div 3} $$
- Simplified fraction
After performing the division, we get:
$$ \frac{1}{2} $$
This means that the fraction 3/6 simplifies to 1/2.
The simplest form of the fraction $\frac{3}{6}$ is $\frac{1}{2}$.
More Information
When simplifying fractions, finding the GCD is essential as it helps ensure that the fraction is reduced to its lowest terms. This concept is widely applicable in different areas of mathematics, such as in ratios and proportions.
Tips
- Not finding the GCD correctly: It's important to accurately identify the GCD to simplify the fraction correctly. Double-checking the divisibility of the numbers can help avoid errors.
- Dividing only one of the numbers: Both the numerator and the denominator must be divided by the GCD to ensure the fraction remains equivalent.
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