Math Problem Statement
Solution
To simplify the given expression, let's break down the steps involved. The expression is:
Step 1: Convert Mixed Numbers to Improper Fractions
Step 2: Simplify the Expression Inside the Parentheses
To subtract these fractions, find a common denominator:
- Common denominator of 3 and 4 is 12.
- Convert each fraction:
Subtract the fractions:
Step 3: Divide the First Fraction by the Result of the Parentheses
Division of fractions means multiplying by the reciprocal:
Step 4: Add the Result to the Last Fraction
Find a common denominator for 3 and 10, which is 30:
Add these fractions:
Final Answer
The simplified expression is:
Or, as a mixed number:
Would you like any further details or have any questions about the steps? Here are some related questions:
- How do you convert mixed numbers to improper fractions?
- What is the process to find a common denominator for fractions?
- How do you multiply and divide fractions?
- How can you simplify complex fractions more efficiently?
- Can this result be expressed in decimal form?
Tip: Always perform operations inside parentheses first and convert mixed numbers to improper fractions for easier calculation.
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Math Problem Analysis
Mathematical Concepts
Fractions
Mixed Numbers
Division
Subtraction
Addition
Improper Fractions
Formulas
Convert mixed numbers to improper fractions
Fraction subtraction: a/b - c/d = (ad - bc) / bd
Fraction division: a/b ÷ c/d = a/b × d/c
Find a common denominator for addition or subtraction
Theorems
Basic arithmetic operations on fractions
Suitable Grade Level
Grades 6-8
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