To solve this expression, we need to follow the order of operations: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
First, simplify inside the parentheses:
1 1/2 2 3/4 = (3/2) (11/4) = 33/83 1/6 = 19/6
Then, substitute these values back into the main expression: 10/13 * (33/8 - 19/6)
Next, find a common denominator for the fractions inside the parentheses, which is 24: (10/13) (33/8 3/3 - 19/6 4/4) (10/13) (99/24 - 76/24) (10/13) * (23/24)
To solve this expression, we need to follow the order of operations: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
First, simplify inside the parentheses:
1 1/2 2 3/4 = (3/2) (11/4) = 33/83 1/6 = 19/6Then, substitute these values back into the main expression:
10/13 * (33/8 - 19/6)
Next, find a common denominator for the fractions inside the parentheses, which is 24:
(10/13) (33/8 3/3 - 19/6 4/4)
(10/13) (99/24 - 76/24)
(10/13) * (23/24)
Finally, multiply the fractions together:
(10 23) / (13 24) = 230 / 312
Therefore, the answer is 230/312, which can be simplified to 115/156.