Sure! Let's solve the given expression step-by-step.
The given mathematical expression is:
[tex]\[ 818.4 \times (6.5 - 45) + 3.5 \div 0.7 - 3.6 \div (3 - 1.8) \][/tex]
Step 1: Calculate the values inside parentheses
First, let's solve the parentheses:
[tex]\[ 6.5 - 45 = -38.5 \][/tex]
[tex]\[ 3 - 1.8 = 1.2 \][/tex]
Step 2: Multiply 818.4 by the result of the first parenthesis
Next, we calculate:
[tex]\[ 818.4 \times (-38.5) = -31508.4 \][/tex]
Step 3: Divide 3.5 by 0.7
Now we compute:
[tex]\[ 3.5 \div 0.7 = 5 \][/tex]
Step 4: Divide 3.6 by the result of the second parenthesis
Next, we calculate:
[tex]\[ 3.6 \div 1.2 = 3 \][/tex]
Step 5: Perform the addition and subtraction
Finally, we combine all the results:
[tex]\[ -31508.4 + 5 - 3 = -31506.4 \][/tex]
So, the final result of the given expression is:
[tex]\[ -31506.4 \][/tex]
