Math Problem Statement
Solution
The image shows a math problem involving the addition of fractions and the addition of negative real numbers. Here's how to solve it:
Problem Breakdown:
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Expression to Add:
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Rule for Adding Negative Real Numbers: The correct rule selected is:
- B. Add absolute values. The answer is negative.
This means you add the absolute values of the fractions and assign a negative sign to the result.
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Finding the Least Common Denominator (LCD):
- The LCD for the denominators 9 and 4 is 36.
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Rewrite Fractions with LCD 36:
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Add the Fractions:
- Combine the fractions:
Final Answer:
This is the simplified result of adding and .
Do you need any further details or have any questions? Here are some related questions to consider:
- How do you find the least common denominator for two fractions?
- What is the difference between adding positive and negative fractions?
- Why is it important to use the LCD when adding fractions with different denominators?
- Can you explain the process of converting fractions to equivalent fractions with a common denominator?
- How would the result change if one of the fractions were positive?
Tip: When adding or subtracting fractions, always ensure the denominators are the same before combining the numerators.
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Math Problem Analysis
Mathematical Concepts
Fraction Addition
Negative Numbers
Least Common Denominator (LCD)
Formulas
a/b + c/d = (ad + bc) / bd when b and d are the same
Rule for adding negative real numbers: Add absolute values and assign a negative sign.
Theorems
Least Common Denominator (LCD)
Suitable Grade Level
Grades 6-8