Calculate the result of the following expression: 0.413 * (2.2 * (1/12)) / 3000 * 115 * 43560
Understand the Problem
The question presents a mathematical expression involving multiplication and division of decimal and fractional numbers. We need to simplify the expression and compute the final numerical result.
Answer
$129.06$
Answer for screen readers
$129.06$
Steps to Solve
-
Rewrite the expression The original expression is: $0.413 * 2.2 * \frac{1}{12} \frac{}{3000} * 115 * 43560$ Which can be interpreted as: $0.413 \times 2.2 \times \frac{1}{12 \times 3000} \times 115 \times 43560$
-
Simplify the fraction Simplify the denominator of the fraction: $12 \times 3000 = 36000$ So the expression becomes: $0.413 \times 2.2 \times \frac{1}{36000} \times 115 \times 43560$
-
Multiply the numbers in the numerator Multiply all the values in the numerator: $0.413 \times 2.2 \times 115 \times 43560 = 4646156.76$ So the expression becomes: $\frac{4646156.76}{36000}$
-
Divide to get the final answer Divide the numerator by the denominator: $\frac{4646156.76}{36000} = 129.05991$
-
Round to two decimal places Round the answer to two decimal places: $129.06$
$129.06$
More Information
The problem involves basic arithmetic operations: multiplication and division. The order of operations is crucial for obtaining the correct answer.
Tips
A common mistake is misinterpreting the expression and incorrectly placing the numbers in the numerator and denominator. Another mistake is performing the calculations in the wrong order. For example, multiplying $1/12$ by $3000$ instead of dividing it. Furthermore, errors in basic multiplication and division are easily made in these kinds of problems if a calculator is not used.
AI-generated content may contain errors. Please verify critical information
