What happens when you add fractions that do not have a common denominator?

When adding fractions that do not have a common denominator, it is essential to first find a common denominator before proceeding with the addition. This is because fractions represent parts of a whole, and in order to combine them accurately, they must refer to the same whole.

Finding a common denominator allows both fractions to be expressed in terms of the same denominator, which makes it possible to add their numerators together while keeping the denominator the same. The lowest common denominator (LCD) is typically used to make the addition simpler and to ensure that the fractions are expressed in the simplest form possible.

Only after establishing a common denominator can you add the numerators. This ensures the mathematical integrity of the operation, as fractions with different denominators cannot be directly added without this step. Therefore, the correct answer emphasizes the necessity of finding a common denominator when adding fractional values.