Math Problem Statement
((3/4)+(5/12)•1/3
Solution
To solve the expression , we proceed step by step:
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Multiplication first: .
Now the expression becomes:
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Finding a common denominator: The least common denominator (LCD) of 4 and 36 is 36.
- Convert to a fraction with a denominator of 36:
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Adding the fractions:
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Simplifying the result:
So, the final answer is .
Would you like more details or have any questions?
Here are 5 related questions to explore:
- How do you find the least common denominator for adding fractions?
- Can you explain how to simplify fractions?
- What is the process for multiplying fractions?
- How do you convert mixed numbers to improper fractions for addition?
- How can you check if two fractions are equivalent?
Tip: Always perform operations like multiplication or division before addition or subtraction when dealing with expressions.
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Math Problem Analysis
Mathematical Concepts
Fraction Addition
Fraction Multiplication
Common Denominators
Simplifying Fractions
Formulas
Multiplication of fractions: (a/b) • (c/d) = (a•c) / (b•d)
Finding common denominator: LCM of denominators
Addition of fractions: (a/b) + (c/b) = (a+c)/b
Simplifying fractions: divide both numerator and denominator by their greatest common divisor (GCD)
Theorems
Fundamental Theorem of Fractions
Least Common Multiple (LCM)
Suitable Grade Level
Grades 6-8