To solve this expression, we can follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
We can simplify the multiplication of the fractions first:
3/4 x 1/3 = 3/12
Then we can simplify the fraction 3/12 by dividing both the numerator and denominator by 3:
3/12 = 1/4
Now we can substitute 1/4 back into the original expression:
1/4 - 3/8
To subtract these fractions, we need to find a common denominator. The least common multiple of 4 and 8 is 8, so we can convert 1/4 to 2/8:
2/8 - 3/8
Now we can subtract the numerators and keep the common denominator:
-1/8
Therefore, the solution is -1/8.