how would 3 neighbors divide a sharing a rectangle piece of land divide it into 24 equal pieces and what fraction of land would each get
This is easy, divide 24 by 3, you should get 8, then you would have a fraction of 8/24 you would reduce that by finding out if 24 will go into eight, and if you do that right you should get 3, which we did in the top problem so you get 1/3.... :)
To divide the rectangle piece of land into 24 equal pieces, the three neighbors can follow these steps:
1. Measure the length and width of the rectangle land. Let's assume the length is L units and the width is W units.
2. Calculate the total area of the land by multiplying the length and width: Area = L × W.
3. Divide the total area by 24 to get the area of each equal piece: Piece Area = Area ÷ 24.
4. Determine the dimensions of each piece by finding a length and width that multiply together to equal the piece area (e.g., if the piece area is 12 units, it could be a 3x4 rectangle or a 2x6 rectangle).
5. Measure and mark the dimensions of each piece on the land, creating a grid of 24 equal pieces.
To find the fraction of land each neighbor would get, divide the area of each neighbor's portion by the total area of the land:
1. Calculate the area of each neighbor's portion by multiplying the dimensions of their section (length × width).
2. Add up the areas of all three portions to get the total area the neighbors are sharing.
3. Divide each neighbor's area by the total shared area to get their fraction of the land.
For example, if Neighbor A's portion is 40 square units, Neighbor B's portion is 30 square units, and Neighbor C's portion is 50 square units, the total shared area would be 40 + 30 + 50 = 120 square units.
- Neighbor A's fraction: 40 / 120 = 1/3, or one-third of the land.
- Neighbor B's fraction: 30 / 120 = 1/4, or one-fourth of the land.
- Neighbor C's fraction: 50 / 120 = 5/12, or five-twelfths of the land.
Therefore, Neighbor A would get 1/3 of the land, Neighbor B would get 1/4, and Neighbor C would get 5/12.