Question

What is 42 {[(4 10) / 7 13] / 5 4}?

Answer 1

Answer:To simplify the expression 42 {[(4 10) / 7 13] / 5 4}, let's break it down step by step:

1. First, we evaluate the expression within the innermost parentheses: 4 * 10 = 40.

2. Next, we divide the result from step 1 by 7 * 13: 40 / (7 * 13) = 40 / 91.

3. Then, we evaluate the expression within the outermost braces: 40 / 91 / 5 * 4.

4. Now, we divide 40 by 91: 40 / 91 = 0.4396 (rounded to four decimal places).

5. Finally, we multiply the result from step 4 by 4: 0.4396 * 4 = 1.7584 (rounded to four decimal places).

Therefore, the value of 42 {[(4 10) / 7 13] / 5 4} is approximately 1.7584.

Step-by-step explanation:

Answer 2

To evaluate the expression, simplify the expression inside the inner parentheses first. Then, simplify the expression inside the outer braces. Finally, simplify the expression inside the braces to get the final result.

Step-by-step explanation:

To evaluate the expression, we need to follow the order of operations, which is often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). Let's break down the expression step by step:

First, let's simplify the expression inside the inner parentheses: 4÷7 = 0.5714 and 10÷13 = 0.7692. So, the expression becomes:

42 {[(0.5714 0.7692) / 5 4]}

Next, let's simplify the expression inside the outer braces: 0.5714 0.7692 = 0.4395 and 5 4 = 20. So, the expression becomes:

42 {[(0.4395) / 20]}

Finally, let's simplify the expression inside the braces: 0.4395 ÷ 20 = 0.021975. So, the final result of the expression is:

42 × 0.021975 = 0.92385