Answer:
108/9
Step-by-step explanation:
Here's how to subtract 41/3 and 15/9:
Common denominator: Since the denominators (3 and 9) are not the same, we need to find the least common multiple (LCM) to have a common denominator for subtraction.
The prime factorization of 3 is simply 3.
The prime factorization of 9 is 3 x 3.
The LCM is the product of the highest powers of each prime factor present: LCM = 3 x 3 = 9.
Make equivalent fractions:
To have a denominator of 9 for the first term (41/3), multiply both numerator and denominator by 3: (41/3) * (3/3) = 123/9
Subtraction:
Now that both terms have a common denominator (9), we can simply subtract the numerators:
123/9 - 15/9 = (123 - 15) / 9
Simplify:
Subtracting the numerators, we get 108/9.
Answer: 108/9 (This can be further simplified to 12, but the question asks for the answer in its simplest form with a numerator and denominator).
