Certainly! Let's break down the solution step-by-step.
1. Determine the fraction of the bag each friend receives:
- Since the bag of oranges is shared equally among seven friends, we need to divide the entire bag into 7 equal parts.
- Each friend, therefore, receives [tex]\(\frac{1}{7}\)[/tex] of the bag of oranges.
2. Calculate the fraction for two children together:
- If one friend receives [tex]\(\frac{1}{7}\)[/tex] of the bag, then two friends together would receive [tex]\(2 \times \frac{1}{7}\)[/tex].
- Multiplying the fraction each friend gets by 2 gives us:
[tex]\[
2 \times \frac{1}{7} = \frac{2}{7}
\][/tex]
So, the fraction of the bag of oranges that two children (or friends) get altogether is [tex]\(\frac{2}{7}\)[/tex].
To simplify this into a decimal form, we divide 2 by 7:
- [tex]\( \frac{2}{7} \approx 0.2857142857142857 \)[/tex]
Thus, the fraction of the bag that two children get altogether is approximately [tex]\(0.2857\)[/tex] or exactly [tex]\(\frac{2}{7}\)[/tex].
