Math Problem Statement
Solution
The expression in the image you provided is:
Let's break this down step by step:
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Convert the mixed fraction to an improper fraction:
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Simplify the expression inside the parentheses:
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Substitute these values into the expression:
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Simplify the multiplication and division:
So the final result is:
Would you like a detailed explanation of any particular step? Here are some follow-up questions to enhance your understanding:
- How do you convert mixed numbers into improper fractions?
- What are the rules for multiplying and dividing fractions?
- How do you simplify expressions with both multiplication and division?
- Can you explain how parentheses affect the order of operations in this problem?
- How would the result change if we changed the values inside the parentheses?
Tip: Always handle parentheses and fractional conversions before other operations for accuracy!
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Math Problem Analysis
Mathematical Concepts
Fractions
Multiplication
Division
Order of Operations (PEMDAS)
Formulas
Mixed fraction conversion: 1 3/4 = 7/4
Simplifying expressions with parentheses: (a-b), (a+b)
Multiplication and division of fractions: (a/b) x c
Theorems
Order of Operations (PEMDAS/BODMAS)
Suitable Grade Level
Grades 6-8