Answer: The simplified fraction is 2/3
Explanation:
To find the common factors for 2, 3, and 4, we can use the prime factorization method. Here's how the process works:
Express each number as a product of prime numbers:
2 = 2
3 = 3
4 = 2^2
Identify the prime factors that appear in each of the numbers:
The prime factor 2 appears in both 2 and 4, and the prime factor 3 appears in 3.
Write the common factors as a product of these prime numbers:
The common factors of 2, 3, and 4 are 2 * 3 = 6.
To find the common factors of two or more fractions, the process is similar but involves finding the common factors of the numerators and denominators of each fraction.
Express each fraction as a product of prime numbers:
For example, for the fraction 4/6, we have:
4 = 2^2
6 = 2 * 3
Identify the prime factors that appear in both the numerator and denominator of each fraction:
In this case, the prime factor 2 appears in both the numerator and denominator of 4/6.
Write the common factors as a product of these prime numbers:
The common factor of the numerator and denominator of 4/6 is 2.
Divide the numerator and denominator by the common factor to simplify the fraction:
4/6 = (2^2) / (2 * 3) = 2 / 3
So, in this case, the simplified fraction is 2/3. The process can be repeated for multiple fractions to find their common factors.