if less than half of a garden is planted with corn is it reasonable to estimat that 2 thirds of the garden is planted with corn?

No.

1/2 = 3/6
2/3 = 4/6

No because that means that you are saying that LESS than half should be without corn so if it's less it should be either 2/5 or 1/5.

To determine whether it is reasonable to estimate that two-thirds of the garden is planted with corn, we need to consider the information given: less than half of the garden is planted with corn.

1. Let's suppose the garden is divided into two equal halves: one half for planting corn and the other half for other crops.
2. Since less than half of the garden is planted with corn, it means that the corn cannot cover the entire half allocated for it. So, there must be some empty space within that half.
3. Now, we need to estimate if two-thirds of the garden could be planted with corn. Two-thirds is more than half, so it is reasonable to assume that the corn could cover more than half of the garden.
4. However, it's important to note that we don't have precise information about the size or proportions of the garden. Without further information, we cannot definitively conclude that two-thirds of the garden is planted with corn. It would be an estimation based on the given partial information.

In summary, while it is reasonable to estimate that two-thirds of the garden is planted with corn, we cannot confirm it without additional details about the garden's size and layout.