Alright, let's solve this step-by-step.
First, we need to calculate [tex]\(\frac{2}{10}\)[/tex] of 50.
1. Calculate [tex]\(\frac{2}{10}\)[/tex] of 50:
[tex]\[
\frac{2}{10} \times 50 = 10.0
\][/tex]
Next, we need to find the value of [tex]\(\frac{6}{9}\)[/tex] of [tex]\(\frac{2}{4}\)[/tex].
2. Calculate [tex]\(\frac{2}{4}\)[/tex]:
[tex]\[
\frac{2}{4} = 0.5
\][/tex]
3. Calculate [tex]\(\frac{6}{9}\)[/tex] of 0.5:
[tex]\[
\frac{6}{9} \times 0.5 = \frac{6}{18} = \frac{1}{3} \approx 0.3333
\][/tex]
Now, we need to divide the result from the first calculation by the result from the second calculation:
4. Divide 10.0 by [tex]\(\frac{1}{3}\)[/tex]:
[tex]\[
10.0 \div 0.3333 \approx 30.0
\][/tex]
Therefore, the quotient is:
[tex]\[
\frac{10.0}{0.3333} = 30.0
\][/tex]
So, the answer is 30.0.
