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Answer :
We begin by breaking the problem into parts.
1. First, we identify two groups of numbers:
- Group 1 consists of the numbers
[tex]$$26,\; 22,\; 18.$$[/tex]
- Group 2 consists of the numbers
[tex]$$13,\; 15.$$[/tex]
2. Next, we evaluate the expression
[tex]$$\frac{26}{5} - \frac{14}{8} - \frac{14}{26}.$$[/tex]
Step by step, we find:
- Compute
[tex]$$\frac{26}{5} = 5.2.$$[/tex]
- Compute
[tex]$$\frac{14}{8} = 1.75.$$[/tex]
- Compute
[tex]$$\frac{14}{26} \approx 0.5384615385.$$[/tex]
Combining these results, the inner expression is
[tex]$$5.2 - 1.75 - 0.5384615385 \approx 2.9115384615.$$[/tex]
3. This computed value is then “bookended” by the number [tex]$15$[/tex] to form a third group:
[tex]$$15,\; 2.9115384615,\; 15.$$[/tex]
4. Finally, we evaluate the product
[tex]$$\frac{21}{23} \times \frac{1}{2}.$$[/tex]
Carrying out the multiplication gives
[tex]$$\frac{21}{23} \times \frac{1}{2} \approx 0.4565217391.$$[/tex]
Summarizing all the results:
- Group 1: [tex]$$[26,\; 22,\; 18]$$[/tex]
- Group 2: [tex]$$[13,\; 15]$$[/tex]
- The individual calculations:
- [tex]$$\frac{26}{5} = 5.2,$$[/tex]
- [tex]$$\frac{14}{8} = 1.75,$$[/tex]
- [tex]$$\frac{14}{26} \approx 0.5384615385,$$[/tex]
- Inner expression: [tex]$$5.2 - 1.75 - 0.5384615385 \approx 2.9115384615,$$[/tex]
- Bookended group (Group 3): [tex]$$[15,\; 2.9115384615,\; 15]$$[/tex]
- Final fraction: [tex]$$\frac{21}{23} \times \frac{1}{2} \approx 0.4565217391.$$[/tex]
Thus, the complete solution yields:
[tex]$$\text{Group 1: } [26,\; 22,\; 18]$$[/tex]
[tex]$$\text{Group 2: } [13,\; 15]$$[/tex]
[tex]$$\frac{26}{5} = 5.2,\quad \frac{14}{8} = 1.75,\quad \frac{14}{26} \approx 0.5384615385,\quad \text{Inner Expression} \approx 2.9115384615$$[/tex]
[tex]$$\text{Bookended Group: } [15,\; 2.9115384615,\; 15]$$[/tex]
[tex]$$\frac{21}{23} \times \frac{1}{2} \approx 0.4565217391.$$[/tex]
1. First, we identify two groups of numbers:
- Group 1 consists of the numbers
[tex]$$26,\; 22,\; 18.$$[/tex]
- Group 2 consists of the numbers
[tex]$$13,\; 15.$$[/tex]
2. Next, we evaluate the expression
[tex]$$\frac{26}{5} - \frac{14}{8} - \frac{14}{26}.$$[/tex]
Step by step, we find:
- Compute
[tex]$$\frac{26}{5} = 5.2.$$[/tex]
- Compute
[tex]$$\frac{14}{8} = 1.75.$$[/tex]
- Compute
[tex]$$\frac{14}{26} \approx 0.5384615385.$$[/tex]
Combining these results, the inner expression is
[tex]$$5.2 - 1.75 - 0.5384615385 \approx 2.9115384615.$$[/tex]
3. This computed value is then “bookended” by the number [tex]$15$[/tex] to form a third group:
[tex]$$15,\; 2.9115384615,\; 15.$$[/tex]
4. Finally, we evaluate the product
[tex]$$\frac{21}{23} \times \frac{1}{2}.$$[/tex]
Carrying out the multiplication gives
[tex]$$\frac{21}{23} \times \frac{1}{2} \approx 0.4565217391.$$[/tex]
Summarizing all the results:
- Group 1: [tex]$$[26,\; 22,\; 18]$$[/tex]
- Group 2: [tex]$$[13,\; 15]$$[/tex]
- The individual calculations:
- [tex]$$\frac{26}{5} = 5.2,$$[/tex]
- [tex]$$\frac{14}{8} = 1.75,$$[/tex]
- [tex]$$\frac{14}{26} \approx 0.5384615385,$$[/tex]
- Inner expression: [tex]$$5.2 - 1.75 - 0.5384615385 \approx 2.9115384615,$$[/tex]
- Bookended group (Group 3): [tex]$$[15,\; 2.9115384615,\; 15]$$[/tex]
- Final fraction: [tex]$$\frac{21}{23} \times \frac{1}{2} \approx 0.4565217391.$$[/tex]
Thus, the complete solution yields:
[tex]$$\text{Group 1: } [26,\; 22,\; 18]$$[/tex]
[tex]$$\text{Group 2: } [13,\; 15]$$[/tex]
[tex]$$\frac{26}{5} = 5.2,\quad \frac{14}{8} = 1.75,\quad \frac{14}{26} \approx 0.5384615385,\quad \text{Inner Expression} \approx 2.9115384615$$[/tex]
[tex]$$\text{Bookended Group: } [15,\; 2.9115384615,\; 15]$$[/tex]
[tex]$$\frac{21}{23} \times \frac{1}{2} \approx 0.4565217391.$$[/tex]
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