A man uses 5/9 of his land for growing mangoes ,2/5 for growing bananas and remaining 24 hectares for growing oranges .
a) how much land does he have?
b) how much land does he use for growing mangoes.
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A man uses 5/9 of his land for growing mangoes ,2/5 for growing bananas and remaining 24 hectares for growing oranges .
a) how much land does he have?
b) how much land does he use for growing mangoes.
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Answer:
Let's calculate the man's total land and how much land he uses for growing mangoes:
a) To find out how much land he has in total, we can add the portions of land he uses for each crop:
Total land = Land for mangoes + Land for bananas + Land for oranges
Total land = (5/9) + (2/5) + 24
To add these fractions, you need a common denominator, which is 45:
Total land = (25/45) + (18/45) + 24
Now, add the fractions:
Total land = (25 + 18) / 45 + 24
Total land = 43/45 + 24
To add the fraction to 24, convert 24 to a fraction with a denominator of 45:
Total land = 43/45 + (24 * 45/45)
Total land = (43 + 1080) / 45
Total land = 1123/45
So, the man has 1123/45 hectares of land.
b) To find out how much land he uses for growing mangoes, simply multiply the fraction (5/9) by the total land:
Land for mangoes = (5/9) * (1123/45)
To multiply fractions, multiply the numerators together and the denominators together:
Land for mangoes = (5 * 1123) / (9 * 45)
Land for mangoes = 5615 / 405
You can simplify this fraction:
Land for mangoes = (5615 ÷ 5) / (405 ÷ 5)
Land for mangoes = 1123 / 81
So, the man uses 1123/81 hectares of land for growing mangoes.