3 teachers share 2 packs of paper equally.
The Correct Answer and Explanation is:
Correct Answer:
Each teacher gets ⅔ (two-thirds) of a pack of paper.
Explanation
To solve this problem, we need to divide 2 packs of paper equally among 3 teachers. The operation that helps us do this is division. Specifically, we need to divide 2 by 3: 23\frac{2}{3}
This fraction means that each teacher gets two-thirds of a pack.
Understanding the Division:
Let’s break this down. If 1 pack of paper is shared equally among 3 teachers, each would get: 13\frac{1}{3}
Now, since we have 2 packs, and each teacher gets one-third from each of the two packs, we add up: 13+13=23\frac{1}{3} + \frac{1}{3} = \frac{2}{3}
So again, each teacher receives ⅔ of a pack.
Visual Explanation:
Imagine each pack of paper is like a pie. You cut each pie into 3 equal parts (because there are 3 teachers). So each pack gives 3 pieces, and we have 2 packs, so: 3 pieces/pack×2 packs=6 pieces3 \text{ pieces/pack} × 2 \text{ packs} = 6 \text{ pieces}
Now we divide 6 equal pieces among 3 teachers: 63=2 pieces per teacher\frac{6}{3} = 2 \text{ pieces per teacher}
Since 3 pieces make up 1 full pack, each piece is: 13 of a pack\frac{1}{3} \text{ of a pack}
So 2 pieces = 2×13=232 × \frac{1}{3} = \frac{2}{3}
Why This Makes Sense:
Dividing something equally means everyone gets a fair share. If 2 packs are shared among 3 teachers, no one can get a full pack without someone else getting less. The fairest way is to split each pack, and when we do that, each teacher ends up with two-thirds of the total amount.
This method works with any number: dividing any quantity equally among people involves fractions, which tell us how much each person gets when we can’t split things evenly in whole numbers.
