Final answer:
To find the fraction that when added to Five-twelfths equals Nine-twelfths, we simply subtract 5/12 from 9/12, resulting in Four-twelfths or One-third after simplification.
Step-by-step explanation:
We are looking to find the fraction that when added to Five-twelfths (5/12) equals Nine-twelfths (9/12). To find this, we need to perform a subtraction because summing the unknown fraction with 5/12 should result in 9/12.
Let the unknown fraction be x. Then we have:
5/12 + x = 9/12
To solve for x, subtract 5/12 from both sides of the equation:
x = 9/12 - 5/12
Since the denominators are the same, we can subtract the numerators directly:
x = (9 - 5)/12
x = 4/12
Therefore, the fraction that when added to 5/12 equals 9/12 is Four-twelfths (4/12), which can be simplified to One-third (1/3).