Final answer:
To calculate the total acres of corn harvested by Alijah and Emily, we find a common denominator for the fractions 3/5 and 5/7, which is 35. After converting both fractions, we add them to get 46/35 acres, which simplifies to 1 11/35 acres. Thus, they harvested a total of 1 11/35 acres combined.
Step-by-step explanation:
The question is asking to calculate the total acres of corn harvested by Alijah and Emily. To find the total, we need to add the fractions of an acre each person harvested. Alijah harvested 3/5 of an acre of corn. Emily harvested 5/7 of an acre of corn. To add these two fractions, they need a common denominator.
To find the common denominator for 5 and 7, we need to calculate the least common multiple (LCM) of the two numbers, which is 35. We then convert both fractions to have 35 as the denominator:
- Alijah: (3/5) × (7/7) = 21/35 of an acre
- Emily: (5/7) × (5/5) = 25/35 of an acre
Now we can add these two fractions:
21/35 + 25/35 = 46/35 acres
However, 46/35 can be simplified to 1 11/35 acres because 35/35 is equal to 1 acre.
Therefore, Alijah and Emily harvested a total of 1 11/35 acres of corn combined.