15. Choose all the numbers that could be common denominators for $$ \frac{1}{9} $$ and $$ \frac{1}{2} $$. 11 16 18 36

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1. A number is a common denominator for $$\frac{1}{9}$$ and $$\frac{1}{2}$$ if it is a multiple of both $$9$$ and $$2$$.

2. The least common multiple (LCM) of $$9$$ and $$2$$ is calculated as:
   $$
   \text{LCM}(9,2)=18
   $$
   This means that $$18$$ is the smallest common denominator.

3. Any common denominator must be a multiple of $$18$$. Checking the given options:
   - $$11$$ is not a multiple of $$18$$.
   - $$16$$ is not a multiple of $$18$$.
   - $$18$$ is a multiple of $$18$$ (since $$18 \div 18 = 1$$).
   - $$36$$ is a multiple of $$18$$ (since $$36 \div 18 = 2$$).

4. Therefore, the numbers that could be common denominators for $$\frac{1}{9}$$ and $$\frac{1}{2}$$ are:
   $$
   18 \quad \text{and} \quad 36.
   $$
The numbers that could be common denominators for $$\frac{1}{9}$$ and $$\frac{1}{2}$$ are 18 and 36.

15. Choose all the numbers that could be common denominators for \( \frac{1}{9} \) and \( \frac{1}{2} \). 11 16 18 36

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