Math Problem Statement
Solution
The expression given in the image is:
Now let's simplify this step by step.
Step 1: Simplify the products
- For the term , multiply the fractions:
So the second term becomes:
- For the term , multiply the fractions:
The term inside the parentheses becomes: Which simplifies to:
Step 2: Combine the terms
Now, the expression becomes:
Step 3: Combine like terms
To combine and , we need a common denominator. The common denominator between 20 and 5 is 20.
Convert to have a denominator of 20:
Now the expression is:
Combine the fractions:
Final Answer:
This is the simplified form of the expression.
Would you like further details or any clarifications?
Here are five related questions:
- How do you combine fractions with different denominators?
- What are the steps to simplify expressions with parentheses?
- What happens when you multiply two fractions?
- How can you handle negative signs when simplifying algebraic expressions?
- What is the significance of common denominators when adding or subtracting fractions?
Tip: Always make sure to distribute negative signs carefully when simplifying terms inside parentheses.
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Math Problem Analysis
Mathematical Concepts
Algebra
Fraction Multiplication
Simplifying Expressions
Formulas
a/b * c/d = (a * c) / (b * d)
Combining like terms
Common denominator in fraction addition
Theorems
Distributive property
Addition of fractions with common denominators
Suitable Grade Level
Grades 6-8