Math Problem Statement
Solution
The image shows some math problems involving fractions and equations. The equations appear to involve solving for , but the mathematical steps leading to the solution are incorrect as they are marked with "×".
Let's analyze the first problem and the likely intention of the question:
Equation 1 (Top left corner):
To solve for , cross-multiply:
This simplifies to:
Now, solve for :
Equation 2 (Middle top):
Cross-multiply:
This simplifies to:
Now, solve for :
Equation 3 (Top right):
Cross-multiply:
This simplifies to:
Solve for :
The remaining set of equations follows a similar structure but appears to be a repetition of the above methods. It seems the problems may have been solved incorrectly in the image, as shown by the "×" marks.
Would you like me to analyze the other set of equations further? Let me know if you'd like additional details.
Here are 5 related questions to further explore the concept:
- How do you cross-multiply two fractions?
- Can you explain why dividing by zero is undefined?
- How do you solve proportions involving fractions?
- How can you check if your solution to a proportion is correct?
- How do ratios and proportions apply to real-world problems?
Tip: Always simplify fractions where possible before cross-multiplying to make calculations easier.
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Math Problem Analysis
Mathematical Concepts
Fractions
Proportions
Algebra
Formulas
Cross-multiplication: a/b = c/d → a * d = b * c
Solving for x in proportions: cross-multiply and solve
Theorems
Proportion theorem: If a/b = c/d, then ad = bc
Suitable Grade Level
Grades 6-8