Certainly! Let's break down and solve the given mathematical expression step-by-step:
We are given a series of numbers:
- The first number is 12.
- The second number is 9.
- The third number is expressed as a mixed number, [tex]\(6 \frac{2}{3}\)[/tex].
First, let's convert the mixed number to an improper fraction and then to a decimal:
1. The mixed number [tex]\(6 \frac{2}{3}\)[/tex] can be converted to an improper fraction. To do this, multiply the whole number part by the denominator of the fraction part and then add the numerator.
- Whole number part: 6
- Fraction part: [tex]\(\frac{2}{3}\)[/tex]
- Improper fraction: [tex]\(6 \times 3 + 2 = 18 + 2 = 20\)[/tex]
- So, [tex]\(6 \frac{2}{3} = \frac{20}{3}\)[/tex].
2. To convert [tex]\(\frac{20}{3}\)[/tex] to a decimal, perform the division:
- [tex]\(\frac{20}{3} \approx 6.666666666666667\)[/tex].
Thus, the numbers in the given series are:
[tex]\[ 12, 9, 6.666666666666667 \][/tex]
Therefore, the final result is:
[tex]\[ [12, 9, 6.666666666666667] \][/tex]
This concludes the step-by-step solution to the given problem.
