Math Problem Statement

Solve the mathematical expression: 36[(7 + 5) ÷ (6 × 9) + 26]

Solution

From the image you provided, the expression written seems to be:

36((7+5)6×9+26)36 \left( \frac{(7 + 5)}{6 \times 9} + 26 \right)

Let me break down the steps to solve this:

  1. First, simplify inside the parentheses:

    • 7+5=127 + 5 = 12

    Now the expression looks like: 36(126×9+26)36 \left( \frac{12}{6 \times 9} + 26 \right)

  2. Next, calculate the denominator:

    • 6×9=546 \times 9 = 54

    So the expression becomes: 36(1254+26)36 \left( \frac{12}{54} + 26 \right)

  3. Simplify the fraction 1254\frac{12}{54}:

    • 1254=29\frac{12}{54} = \frac{2}{9}

    Now the expression is: 36(29+26)36 \left( \frac{2}{9} + 26 \right)

  4. Add the fraction and the integer:

    • 29+26=29+2349=2369\frac{2}{9} + 26 = \frac{2}{9} + \frac{234}{9} = \frac{236}{9}

    The expression now becomes: 36×236936 \times \frac{236}{9}

  5. Multiply: 36×2369=36×2369=84969=94436 \times \frac{236}{9} = \frac{36 \times 236}{9} = \frac{8496}{9} = 944

Thus, the value of the expression is 944.

Would you like more details on any of the steps? Here are five related questions you might find useful:

  1. What happens if you change the numbers inside the parentheses?
  2. How would the expression change if there were subtraction instead of addition?
  3. What if multiplication had been done before division? How would it affect the result?
  4. How would the result change if the coefficient outside the parentheses (36) were different?
  5. What would happen if you applied different operations inside the parentheses?

Tip: Always remember the order of operations (PEMDAS/BODMAS) when solving such expressions. It helps to avoid calculation mistakes.

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Algebra
Fractions
Basic Arithmetic

Formulas

Fraction Simplification Formula: a/b
Basic Arithmetic: PEMDAS

Theorems

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Suitable Grade Level

Grades 6-8