Can 4/3 be simplified?
Understand the Problem
The question is asking whether the fraction 4/3 can be reduced to its simplest form. To determine if a fraction can be simplified, we divide the numerator and the denominator by their greatest common divisor (GCD). In this case, 4 and 3 do not share any common factors (other than 1), so the fraction is already in its simplest form.
Answer
The fraction $ \frac{4}{3} $ is in its simplest form.
Answer for screen readers
The fraction $ \frac{4}{3} $ cannot be reduced further and is in its simplest form.
Steps to Solve
- Identify the numerator and denominator
The numerator of the fraction is 4 and the denominator is 3.
- Find the factors of both numbers
- Factors of 4: 1, 2, 4
- Factors of 3: 1, 3
- Determine the greatest common divisor (GCD)
The greatest common divisor of 4 and 3 is 1 since the only common factor is 1.
- Conclude whether the fraction can be simplified
Since the GCD is 1, we cannot simplify the fraction further. Therefore, $ \frac{4}{3} $ is already in its simplest form.
The fraction $ \frac{4}{3} $ cannot be reduced further and is in its simplest form.
More Information
This fraction represents an improper fraction where the numerator is greater than the denominator. It can also be converted to a mixed number, which would be $1\frac{1}{3}$, but it is already in simplest form.
Tips
A common mistake is to overlook that the GCD is 1, and mistakenly assume that the fraction can be simplified. To avoid this, always verify the factors thoroughly.