What does 1\4 times 3\2 times 8\9 equal

$$\frac{1}{4} \times \frac{3}{2} \times \frac{8}{9}$$

 

Start by "simplifying" if you can like so:

 

$$\frac{1}{{\not}4\;1} \times \frac{3}{2} \times \frac{{\not}8\;2}{9}$$

 

$$\frac{1}{1} \times \frac{3}{2} \times \frac{2}{9}$$

 

We can do this again with the 3 and 9 like so:

 

$$\frac{1}{1} \times \frac{{\not}3\;1}{2} \times \frac{2}{{\not}9\;3}$$

 

$$\frac{1}{1} \times \frac{1}{2} \times \frac{2}{3}$$

 

Multiply the tops together. Then multiply the bottoms together:

 

$$\frac{1\times1\times2}{1\times2\times3}$$

 

$$\frac{2}{6}$$

 

Now reduce the fraction by dividing the top and bottom by 2:

 

$$\frac{2\div2}{6\div2}$$

 

$$\frac{1}{3}$$

 

And that's that!