Math Problem Statement
(2/3-1/3*7/2)+1/2(-2/3)+1/3:2/5
Solution
Let's break down and solve the expression step by step:
Step 1: Simplify
First, calculate the multiplication:
Now subtract:
Step 2: Simplify
Step 3: Simplify
Dividing by a fraction is the same as multiplying by its reciprocal:
Step 4: Combine all parts
Now we add up the simplified results from each step:
To add these fractions, convert them to have a common denominator (6):
Now add:
Final Answer:
The value of the expression is .
Would you like more details on any step?
Here are 5 questions to explore further:
- What is the general process for simplifying expressions with fractions?
- How do you handle multiplication and division of fractions?
- Why is it important to find a common denominator when adding or subtracting fractions?
- How do you convert a division of fractions into a multiplication?
- How can mixed numbers be simplified in more complex expressions?
Tip: When working with multiple fractions in an expression, always perform the operations in the correct order (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).
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Math Problem Analysis
Mathematical Concepts
Fractions
Order of Operations
Addition and Subtraction of Fractions
Multiplication and Division of Fractions
Formulas
Multiplication of fractions: (a/b) * (c/d) = (a*c)/(b*d)
Division of fractions: (a/b) ÷ (c/d) = (a/b) * (d/c)
Addition and subtraction of fractions: Convert to a common denominator and then add/subtract numerators
Theorems
PEMDAS (Order of Operations)
Suitable Grade Level
Grades 6-8