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 - 0.4951981.25 - 10.139437826 + 0.0096 - 0.495198-8.375035226
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 - 0.495198
1.25 - 10.139437826 + 0.0096 - 0.495198
-8.375035226
Therefore, the simplified result of the given expression is approximately -8.375.