A farmer has three hectares of an orchard 1/1/2 hectares of land is occupied by apples 1/6 of the remainder is occupied by lemon trees in the rest is occupied by tritomatos find the fraction of the Land occupied by the tree tomatoes

1 answer

To find the fraction of the land occupied by tree tomatoes, we first need to calculate the remaining land after the apples and lemon trees are accounted for.

1/2 hectares of land is occupied by apples, so the remaining land is 3 - 1/2 = 2 1/2 hectares.

1/6 of the remainder is occupied by lemon trees, so the lemon trees occupy (1/6) * (2 1/2) = 5/12 hectares.

The remaining land is 2 1/2 - 5/12 = 30/12 - 5/12 = 25/12 hectares.

Therefore, the fraction of the land occupied by tree tomatoes is 25/12.