Solve Math Expression: (15 + 24) × 3 ÷ 13 + 18 – 5

This question requires us to find the value of the given mathematical expression by simplifying it. We need to follow the standard order of operations to solve it correctly. The order of operations is often remembered by the acronym BODMAS or PEMDAS.

Understanding BODMAS/PEMDAS

BODMAS stands for:

• Brackets (or Parentheses)
• Orders (or Exponents/Indices)
• Division
• Multiplication
• Addition
• Subtraction

Multiplication and Division have the same priority and are performed from left to right. Similarly, Addition and Subtraction have the same priority and are performed from left to right.

Step-by-Step Calculation

Let's break down the calculation step-by-step:

1. Parentheses: First, we solve the expression inside the parentheses. $$ (15 + 24) = 39 $$ The expression now becomes: $ 39 \times 3 \div 13 + 18 - 5 $
2. Multiplication and Division (Left to Right): Next, we perform multiplication and division from left to right.
   • First, multiplication: $ 39 \times 3 = 117 $
   • The expression becomes: $ 117 \div 13 + 18 - 5 $
   • Next, division: $ 117 \div 13 = 9 $
   The expression simplifies to: $ 9 + 18 - 5 $
3. Addition and Subtraction (Left to Right): Finally, we perform addition and subtraction from left to right.
   • First, addition: $ 9 + 18 = 27 $
   • The expression becomes: $ 27 - 5 $
   • Next, subtraction: $ 27 - 5 = 22 $

Final Result

After performing all the operations in the correct order (BODMAS), the value of the expression $ (15 + 24) \times 3 \div 13 + 18 - 5 $ is 22.

Looking at the options provided:

• 1. 25
• 2. 32
• 3. 22
• 4. 17
• 5. 19

The calculated result matches Option 3.