Find the product: $\frac{2}{9}\times \frac{27}{8}$

When multiplying fractions, multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together. 

So, in this case, $\frac{2}{9}\times \frac{27}{8}$

$=\frac{2\times 27}{9\times 8}$

$=\frac{3}{4}$

Therefore, $\frac{2}{9}\times \frac{27}{8}$$=\frac{3}{4}$.