To solve this expression, we need to follow the order of operations, or PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
First, let's simplify the multiplication within the parentheses: 6 1/8 1 2/7 = (49/8) (9/7) = 441/56
2 11/14 1 8/13 = (37/14) (21/13) = 777/182
Now we subtract these results: 441/56 - 777/182
To subtract these fractions, we need a common denominator, which is 56*182 = 10192.
To solve this expression, we need to follow the order of operations, or PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
First, let's simplify the multiplication within the parentheses:
6 1/8 1 2/7 = (49/8) (9/7) = 441/56
2 11/14 1 8/13 = (37/14) (21/13) = 777/182
Now we subtract these results:
441/56 - 777/182
To subtract these fractions, we need a common denominator, which is 56*182 = 10192.
441/56 = (441/56) (182/182) = 79842/10192
777/182 = (777/182) (56/56) = 43368/10192
Now we subtract:
79842/10192 - 43368/10192 = 36474/10192
Lastly, we multiply by 1 3/5:
36474/10192 8/5 = (36474 8) / (10192 * 5) = 291792 / 50960 = 117/205
So, the final answer is 117/205.