Solving the Expressions:

First Expression: 5/12 * 2/3
- To multiply fractions, you multiply the numerators together and the denominators together.
- So, 5/12 * 2/3 = (5 * 2) / (12 * 3) = 10 / 36
- You can simplify this fraction by dividing both the numerator and the denominator by their greatest common factor, which is 2 in this case.
- Simplifying, we get 5/18.

 
Second Expression: 5/4 - 2/3 * 7/6
- To subtract fractions, you need to have a common denominator. In this case, the common denominator is 12.
- So, 5/4 = 15/12.
- Now, we have 15/12 - 2/3 * 7/6.
- To multiply the fractions 2/3 * 7/6, we multiply the numerators (2 * 7) and the denominators (3 * 6) to get 14/18.
- Now we have 15/12 - 14/18.
- To subtract 14/18 from 15/12, we need to find a common denominator, which is 36.
- 15/12 is equivalent to 45/36.
- So, we have 45/36 - 14/18.
- Now, subtracting the fractions, we get 45/36 - 14/18 = (45 * 2 - 14 * 2) / 36 = 76/36.
- Finally, we can simplify this fraction by dividing both the numerator and the denominator by their greatest common factor, which is 4 in this case.
- Simplifying, we get 19/9 or 2 1/9.

Therefore, the solutions to the given expressions are:
- 5/12 * 2/3 = 5/18
- 5/4 - 2/3 * 7/6 = 2 1/9

Answer is 1/6 by DMAS rule