Math Problem Statement

What is the result of the expression: (23 + 5) / (18 - 4^2)?

Solution

The expression extracted from the image is:

23+51842\frac{23 + 5}{18 - 4^2}

Let's solve this step by step:

  1. First, solve the numerator: 23+5=2823 + 5 = 28.
  2. Next, solve the denominator: 42=16so1816=2.4^2 = 16 \quad \text{so} \quad 18 - 16 = 2.
  3. Finally, divide the numerator by the denominator: 282=14.\frac{28}{2} = 14.

The final result is 1414.

Do you have any questions or would you like further details? Here are 5 related questions you might find interesting:

  1. What is the order of operations in more complex expressions?
  2. How does exponentiation affect the rest of an equation?
  3. What happens if the denominator of a fraction becomes zero?
  4. How would the result change if one of the numbers were negative?
  5. Can this be written as a different type of mathematical expression?

Tip: Always remember to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Exponents
Order of Operations

Formulas

Basic arithmetic: addition, subtraction, division
Exponentiation: a^2 = a * a

Theorems

Order of Operations (PEMDAS)

Suitable Grade Level

Grades 6-8