Answer:
To simplify the given expression:
(7/2 x 5/3) + (1/6 x 3/2) - (12/8 x 4/3)
Step 1: Simplify the fractions within the parentheses first.
(35/6) + (1/4) - (48/24)
Step 2: Find a common denominator for all three terms. The least common multiple of 6, 4, and 24 is 24.
(35/6 x 4/4) + (1/4 x 6/6) - (48/24 x 1/1)
Step 3: Simplify the numerators using the common denominator.
(140/24) + (6/24) - (48/24)
Step 4: Combine the like terms.
98/24 or 4 1/6
Therefore, the simplified form of the expression is 4 1/6.