What is 2/4 equal to in fractions?
Understand the Problem
The question is asking for the simplified form of the fraction 2/4. This involves reducing the fraction to its lowest terms.
Answer
The simplified form of the fraction \( \frac{2}{4} \) is \( \frac{1}{2} \).
Answer for screen readers
The simplified form of the fraction ( \frac{2}{4} ) is ( \frac{1}{2} ).
Steps to Solve
- Identify the numerator and denominator
In the fraction $\frac{2}{4}$, the numerator is 2 and the denominator is 4.
- Find the greatest common divisor (GCD)
To simplify the fraction, we need to find the GCD of the numerator and the denominator. The factors of 2 are 1 and 2, and the factors of 4 are 1, 2, and 4. The GCD is the largest factor that both numbers share, which is 2.
- Divide both the numerator and denominator by the GCD
Now, we simplify the fraction by dividing both the numerator and the denominator by the GCD. This results in:
$$ \frac{2 \div 2}{4 \div 2} = \frac{1}{2} $$
The simplified form of the fraction ( \frac{2}{4} ) is ( \frac{1}{2} ).
More Information
When simplifying fractions, finding the GCD is crucial as it allows us to express the fraction in its simplest form, making it easier to understand and work with. In this case, ( \frac{1}{2} ) represents half of a whole.
Tips
Common mistakes include:
- Not identifying the GCD correctly, leading to incorrect simplification.
- Forgetting to divide both the numerator and the denominator by the GCD, resulting in an unsimplified fraction.
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