Math Problem Statement

Solve the expression 8 × (15/5) - (5 + 9)

Solution

The expression in the image is:

8×155(5+9)8 \times \frac{15}{5} - (5 + 9)

Step-by-Step Solution:

  1. Simplify the fraction: 155=3\frac{15}{5} = 3 Now the expression becomes: 8×3(5+9)8 \times 3 - (5 + 9)

  2. Simplify the addition inside the parentheses: 5+9=145 + 9 = 14 The expression is now: 8×3148 \times 3 - 14

  3. Multiply: 8×3=248 \times 3 = 24 So, the expression becomes: 241424 - 14

  4. Subtract: 2414=1024 - 14 = 10

Final Answer:

1010

Would you like any further details or clarifications?

Here are 5 related questions to explore:

  1. How would the result change if the fraction was different, say 185\frac{18}{5}?
  2. What happens if you change the values inside the parentheses to something else?
  3. How can we solve this using a distributive property if necessary?
  4. What if there was a negative sign before the parentheses?
  5. Can you think of a real-life situation where such an expression could arise?

Tip: Always simplify fractions and handle operations inside parentheses first, following the order of operations (PEMDAS).

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations
Fractions
Parentheses

Formulas

Simplifying Fractions
Order of Operations (PEMDAS)

Theorems

None directly, but involves the order of operations principle (PEMDAS)

Suitable Grade Level

Grades 5-7