To solve this expression, we follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
First, we simplify within the parentheses:
(2/15 + 7/12) = (8/60 + 35/60) = 43/60
Now, we can rewrite the expression with this simplified form:
(43/60) 30/43 - 2.5 5/32
Next, we simplify the multiplication and division:
To solve this expression, we follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
First, we simplify within the parentheses:
(2/15 + 7/12) = (8/60 + 35/60)
= 43/60
Now, we can rewrite the expression with this simplified form:
(43/60) 30/43 - 2.5 5/32
Next, we simplify the multiplication and division:
(43/60) * 30/43 = 30/60 = 1/2
Now, the expression becomes:
1/2 - 2.5 * 5/32
Multiply 2.5 by 5/32:
2.5 * 5/32 = 12.5/32 = 25/64
Finally, we subtract 25/64 from 1/2:
1/2 - 25/64 = 32/64 - 25/64 = 7/64
Therefore, the final answer is 7/64.