At a farm, 3/5 of the total area is covered by a pumpkin patch and 1/4 of the total area is covered by a cornfield. What fraction of the total area of the farm is covered by the pumpkin patch and the cornfield combined?
To find the fraction of the total area covered by the pumpkin patch and the cornfield combined, we first need to find the fraction of the total area covered by each separately and then add them together.
Fraction covered by pumpkin patch: 3/5
Fraction covered by cornfield: 1/4
To find the combined fraction, we add the two fractions together:
3/5 + 1/4 = 12/20 + 5/20 = 17/20
Therefore, 17/20 of the total area of the farm is covered by the pumpkin patch and the cornfield combined.