Math Problem Statement
Evaluate the expression: (3/5 - 1/5) ÷ 1/4 - 1/2
Solution
The image asks to evaluate the expression:
Let's proceed to solve this step by step:
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First, evaluate inside the parentheses:
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Then, divide this result by :
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Now subtract from this result:
To subtract, we need a common denominator:
So,
Thus, the final result is or 1.1.
Do you need more details or have any questions?
Here are some related questions for further practice:
- How do you divide two fractions in general?
- What is the process for finding a common denominator?
- How can we convert an improper fraction to a decimal?
- What are some other methods for simplifying expressions with fractions?
- How would this expression change if it were multiplication instead of division?
Tip: When dividing fractions, always multiply by the reciprocal of the divisor.
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Math Problem Analysis
Mathematical Concepts
Fractions
Order of Operations
Division and Subtraction of Fractions
Formulas
Division of Fractions: a/b ÷ c/d = a/b * d/c
Subtraction of Fractions: a/b - c/d requires a common denominator
Theorems
Order of Operations (PEMDAS/BODMAS)
Suitable Grade Level
Grades 6-8