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Let's write out the problem and see if there is anything we can simplify.

[tex]\frac{6}{9} \cdot \frac{3}{8}[/tex]

The numerator 6 and the denominator 8 can be simplified to 3 and 4 by taking out a 2.
The numerator 3 and the denominator 9 can be simplified to 1 and 3 by taking out a 3.

Now our expression is [tex]\frac{3}{3} \cdot \frac{1}{4}[/tex].

The fraction 3/3 reduces to 1 since the denominator and numerator are the same and not 0, making our answer 1/4.
In simplest form, both top and bottom number cannot be divided into any smaller numbers. So, the calculation would be:

6/9 x 3/8

 =(6x3)/(8x9)

= 18/72   ............................Divide both by 18

= 1/4