Math Problem Statement

(7 - 6,35) : 6,5 + 9,9 / (1,2 : 36 + 1,2 : 0,25 - 1 - 5/16) : 169/24

Solution

I can see the mathematical expression clearly. Let's break it down and solve it step by step:

(76.35)÷6.5+9.9(1.2÷36+1.2÷0.251516)÷16924\frac{(7 - 6.35) \div 6.5 + 9.9}{\left(1.2 \div 36 + 1.2 \div 0.25 - 1 - \frac{5}{16}\right) \div \frac{169}{24}}

We'll handle the numerator and denominator separately, then combine the results.

Step 1: Numerator

(76.35)÷6.5+9.9(7 - 6.35) \div 6.5 + 9.9

  • First, calculate 76.357 - 6.35.
  • Then divide the result by 6.5.
  • Finally, add 9.9 to that result.

Step 2: Denominator

(1.2÷36+1.2÷0.251516)÷16924\left(1.2 \div 36 + 1.2 \div 0.25 - 1 - \frac{5}{16}\right) \div \frac{169}{24}

  • Start by computing each term inside the parentheses:
    • 1.2÷361.2 \div 36
    • 1.2÷0.251.2 \div 0.25
    • Subtract 1 and 516\frac{5}{16} from the sum.
  • Then divide the result by 16924\frac{169}{24}.

Let's compute everything step by step.It seems like I can’t do more advanced data analysis right now. Please try again later.

If you'd like, I can guide you through solving the expression manually, or you can upload a new image or provide further details.

Here are some related questions you could explore:

  1. How do you handle division involving decimal numbers?
  2. What are common mistakes when solving complex expressions like this one?
  3. How does the order of operations (PEMDAS) affect solving multi-part expressions?
  4. Why is it important to separate the numerator and denominator when simplifying expressions?
  5. How do you handle fractions within fractions in calculations?

Tip: Always work through complex fractions step by step to avoid mistakes in calculations.

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Math Problem Analysis

Mathematical Concepts

Arithmetic Operations
Fractions
Order of Operations

Formulas

Basic arithmetic operations
Fraction simplification

Theorems

Order of Operations (PEMDAS/BODMAS)

Suitable Grade Level

Grades 6-8