To solve the given question [tex]\(\frac{9}{11} = \frac{?}{22}\)[/tex], we need to determine the number that makes the equation true.
1. We start by setting up the proportional equation:
[tex]\[
\frac{9}{11} = \frac{x}{22}
\][/tex]
2. To isolate [tex]\(x\)[/tex], we can use cross multiplication:
[tex]\[
9 \times 22 = 11 \times x
\][/tex]
3. Evaluate the multiplication on the left-hand side:
[tex]\[
9 \times 22 = 198
\][/tex]
4. Now, we have:
[tex]\[
198 = 11x
\][/tex]
5. Next, we solve for [tex]\(x\)[/tex] by dividing both sides by 11:
[tex]\[
x = \frac{198}{11}
\][/tex]
6. Perform the division:
[tex]\[
x = 18
\][/tex]
Thus, the solution to [tex]\(\frac{9}{11} = \frac{x}{22}\)[/tex] is [tex]\(x = 18\)[/tex].
The best answer is:
D. 18
