Final answer:
The expression (3/11 x 5/6) - (9/12 x 4/3) + (5/13 x 6/15) results in approximately -0.61988, following the order of operations: multiply first, and then subtract and add from left to right.
Step-by-step explanation:
Solution:
To solve the problem, we must adhere to the order of operations which is often remembered as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
Let's calculate each multiplication separately first:
- ((3/11) x (5/6)) = 15/66 = 0.22727
- ((9/12) x (4/3)) = 36/36 = 1
- ((5/13) x (6/15))= 30/195 = 0.15385
Now, substitute these values back into the equation and perform the subtraction and addition:
(0.22727) - (1) + (0.15385) =-0.61988.
So, (3/11 x 5/6) - (9/12 x 4/3) + (5/13 x 6/15) results in -0.61988 approximately.
Learn more about Order of Operations