- Divide the total weight of \(8\) kg by \(3\) bags to find that each bag weighs \(\frac{8}{3}\) kg or approximately \(2.67\) kg.
- Divide \(8\) kg by the unit \(\frac{1}{3}\) kg to determine that there are \(8 \div \frac{1}{3} = 24\) thirds in \(8\) kilograms.
- Final results: Weight per bag is \(\boxed{\frac{8}{3} \text{ kg}}\); number of thirds is \(\boxed{24}\).
Explanation
- Calculating the weight of each bag
We are given that a baker has \(8\) kilograms of oats that are distributed equally into \(3\) bags. To find the weight of each bag, we divide the total weight by the number of bags:
\[\text{Weight of each bag} = \frac{8 \text{ kg}}{3} = \frac{8}{3} \text{ kg} = 2 \frac{2}{3} \text{ kg}.\]
Thus, each bag contains \(\frac{8}{3}\) kilograms of oats.
- Calculating the number of thirds in 8 kilograms
We need to determine how many 'thirds' are in \(8\) kilograms. A 'third' is defined as the unit \(\frac{1}{3}\) of a kilogram. To find how many such units fit into \(8\) kilograms, we divide the total weight by \(\frac{1}{3}\):
\[\text{Number of thirds} = \frac{8}{1/3}.\]
Performing the division, we have:
\[\frac{8}{1/3} = 8 \times 3 = 24.\]
So, there are \(24\) thirds in \(8\) kilograms.
Examples
Imagine you are baking cookies and need to divide a large batch of ingredients. If you have 8 cups of flour to share equally among 3 recipes, each recipe gets \(\frac{8}{3}\) cups, which helps keep your baking consistent. Understanding how to divide quantities into equal parts is a fundamental skill in cooking, resource management, and planning.