Final Answer:
The sum of two fractions can always be written as a single fraction with a common denominator.
Step-by-step explanation:
To add fractions, they must have a common denominator. This means the bottom numbers (denominators) of both fractions must be the same. We can achieve this by:
Finding the least common multiple (LCM) of the original denominators. The LCM is the smallest number that is a multiple of both denominators.
Multiplying each fraction by a factor that makes its denominator equal to the LCM.
Adding the numerators (top numbers) of the resulting fractions with the common denominator to obtain the final sum.
Therefore, while the original fractions may not have the same denominator, their sum can always be written as a single fraction with a common denominator, resulting in a more simplified and easily manageable expression.