a man uses 1/3 of his land for growing mangoes,!/4 for bananas ,3/8 for apples ,and the remaining 18 hectares for oranges , so find how much land does the man have ?and find how much land does he use for growing apples ?
so 1/3 mangoes,1/4 bananas 3/8 apples and 18 hectares oranges.1/24 = 18 hectares and the man has in total 432 hectares .
He uses 144 hectares for mangoes ,108 hectares for bananas 162 hectares for apples and 18 hectares for oranges .
To find out how much land the man has, we need to add up the portions of land used for each crop and subtract it from the total.
The given fractions are:
- Mangoes: 1/3
- Bananas: 1/4
- Apples: 3/8
To add fractions, the denominators must be the same. Let's find a common denominator for 3, 4, and 8, which is 24.
Now, we can convert each fraction to have a denominator of 24:
- Mangoes: (1/3) * (8/8) = 8/24
- Bananas: (1/4) * (6/6) = 6/24
- Apples: (3/8) * (3/3) = 9/24
Adding up the fractions:
8/24 + 6/24 + 9/24 = 23/24
From the information given, we know that the remaining 18 hectares (which is the same as 18/24) are used for growing oranges.
To find the total land the man has:
Total land = Remaining land + Land used for crops
Total land = (18/24) + (23/24) = 41/24
Since the question asks for how much land the man has, we can convert the fraction to a mixed number to get a meaningful answer:
41/24 = 1 + (17/24)
So, the man has 1 whole unit (1 whole land) plus 17/24 of another unit (17/24 of land). Therefore, the man has a total of 1 and 17/24 hectares of land.
To find out how much land the man uses for growing apples specifically, we already calculated that it's 9/24. However, we can simplify the fraction:
9/24 = (3/3) * (3/8) = 9/24 = 3/8
Therefore, the man uses 3/8 of his land for growing apples, which is equal to 3/8 * 41/24 hectares.