Compute: $9 \cdot \frac{1}{13} \cdot 26.$
I notice that 13 and 26 have a common factor of 13, so I can divide both by 13 to get $\frac{1}{13} \cdot 26 = \frac{1}{1} \cdot 2 = 2.$ Now the problem is $9 \cdot 2,$ which is much easier to compute. I know that 9 times 2 is 18, so that's my final answer. 