The table below shoes how IV divided her eight 2/5 hectares of land for homestead she divided it in 3/4 for coffee 3 3/4 for grazing 11/2 find the piece of land that she used for maize
The table below shows how IV divided her 8 2/5 hectares of land for homestead:
Division | Hectares
-----------------------
Coffee | 3 3/4
Grazing | 11/2
Maize | unknown
To find the piece of land that she used for maize, we need to subtract the areas already allocated for coffee and grazing from the total land area.
Total land area = 8 2/5 hectares
Area for coffee = 3 3/4 hectares
Area for grazing = 11/2 hectares
To subtract fractions, we need to have a common denominator:
Area for coffee = 3 3/4 = (4/4)(3) + (3/4) = 12/4 + 3/4 = 15/4 hectares
Area for grazing = 11/2 hectares = 5 1/2 hectares = 5 + 1/2 = 10/2 + 1/2 = 11/2 hectares
Total area for coffee and grazing = 15/4 + 11/2
= 15/4 + 22/4
= 37/4 hectares
Remaining area for maize = Total land area - Total area for coffee and grazing
= 8 2/5 hectares - 37/4 hectares
Now, let's convert 8 2/5 to a fraction with the same denominator as 4:
8 2/5 = (5/5)(8) + 2/5 = 40/5 + 2/5 = 42/5
Remaining area for maize = 42/5 hectares - 37/4 hectares
To subtract fractions, we need to have a common denominator:
42/5 hectares = 42/5 * 4/4 = 168/20
37/4 hectares = 37/4 * 5/5 = 185/20
Remaining area for maize = 168/20 hectares - 185/20 hectares
= (168 - 185)/20 hectares
= -17/20 hectares
IV used -17/20 hectares for maize (negative because there is not enough remaining land to allocate for maize).