Simplify a67/b34.
The fraction a67/b34 cannot be simplified further, as a67 and b34 are already fully factored.
To simplify the fraction a67/b34, we need to find the greatest common divisor (GCD) of a67 and b34, and then divide both the numerator and the denominator by this GCD.
To find the GCD, we need to factorize both numbers and find the common prime factors. However, the given numbers a67 and b34 are not valid numerical representations as they contain letters ('a' and 'b') in the middle. Could you please provide numerical values for a and b in order to proceed with the calculation?
To simplify the fraction a67/b34, you would need to find the greatest common divisor (GCD) of the numerator (a67) and the denominator (b34) and divide both of them by their GCD.
Since a67 and b34 are not known numbers, we can't directly find their GCD. However, you can simplify the fraction by simplifying each component separately. If a67 and b34 represent specific numbers, you can find their GCD using methods like finding common factors, prime factorization, or using a calculator.
Let's assume a67 = 201 and b34 = 102. Now we can find their GCD:
1. Find the prime factorization of both numbers:
- Prime factorization of 201: 3 * 67
- Prime factorization of 102: 2 * 3 * 17
2. Identify the common prime factors: The only common prime factor is 3.
3. Multiply the common prime factors: 3.
Therefore, the GCD of 201 and 102 is 3. Now we can simplify the fraction a67/b34:
a67/b34 = 201/102
Divide both the numerator and denominator by their GCD:
201 ÷ 3 / 102 ÷ 3 = 67/34
So, the simplified form of a67/b34 is 67/34.