To simplify the given expression, we will follow the order of operations (PEMDAS/BODMAS):
Start with the parentheses1/2 + (1.5:3 ∙ 3/4) ∙ 2 - (1 + 23/49):22/147/2 : 3 + (3.25:13):2/3 - (2.27 - 0.472) ∙ 0.276
Perform division within the parentheses1/2 + (0.5 ∙ 0.75) ∙ 2 - (1 + 23/49):22/147/2 : 3 + (0.25:13):2/3 - (2.27 - 0.472) ∙ 0.276
Simplify the division1/2 + (0.375) ∙ 2 - (1 + 0.469):22/147/2 : 3 + (0.0192):2/3 - (2.27 - 0.472) ∙ 0.276
Solve the multiplication1/2 + 0.75 - (1 + 0.469):22/147/2 : 3 + 0.0096 - (2.27 - 0.472) ∙ 0.276
Perform addition and subtraction1/2 + 0.75 - (1 + 0.469):22/147/2 : 3 + 0.0096 - 1.7986 ∙ 0.276
Calculate within the parentheses1/2 + 0.75 - 1.469:0.1506 : 3 + 0.0096 - 0.495198
Perform division0.5 + 0.75 - 1.469 : 0.048209 : 3 + 0.0096 - 0.495198
Simplify the division operation0.5 + 0.75 - 30.418313479 : 3 + 0.0096 - 0.495198
Perform subtraction0.5 + 0.75 - 30.418313479 : 3. + 0.0096 - 0.495198
Calculate the final result0.5 + 0.75 - 10.139437826 + 0.0096 - 0.495191.25 - 10.139437826 + 0.0096 - 0.49519-8.375035226
Therefore, the simplified result of the given expression is approximately -8.375.
To simplify the given expression, we will follow the order of operations (PEMDAS/BODMAS):
Start with the parentheses
1/2 + (1.5:3 ∙ 3/4) ∙ 2 - (1 + 23/49):22/147/2 : 3 + (3.25:13):2/3 - (2.27 - 0.472) ∙ 0.276
Perform division within the parentheses
1/2 + (0.5 ∙ 0.75) ∙ 2 - (1 + 23/49):22/147/2 : 3 + (0.25:13):2/3 - (2.27 - 0.472) ∙ 0.276
Simplify the division
1/2 + (0.375) ∙ 2 - (1 + 0.469):22/147/2 : 3 + (0.0192):2/3 - (2.27 - 0.472) ∙ 0.276
Solve the multiplication
1/2 + 0.75 - (1 + 0.469):22/147/2 : 3 + 0.0096 - (2.27 - 0.472) ∙ 0.276
Perform addition and subtraction
1/2 + 0.75 - (1 + 0.469):22/147/2 : 3 + 0.0096 - 1.7986 ∙ 0.276
Calculate within the parentheses
1/2 + 0.75 - 1.469:0.1506 : 3 + 0.0096 - 0.495198
Perform division
0.5 + 0.75 - 1.469 : 0.048209 : 3 + 0.0096 - 0.495198
Simplify the division operation
0.5 + 0.75 - 30.418313479 : 3 + 0.0096 - 0.495198
Perform subtraction
0.5 + 0.75 - 30.418313479 : 3. + 0.0096 - 0.495198
Calculate the final result
0.5 + 0.75 - 10.139437826 + 0.0096 - 0.49519
1.25 - 10.139437826 + 0.0096 - 0.49519
-8.375035226
Therefore, the simplified result of the given expression is approximately -8.375.