Math Problem Statement
Solution
The given mathematical expression is:
Where represents the repeating decimal .
Step-by-step solution:
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Convert repeating decimal to a fraction:
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Simplify the denominator:
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Now substitute these into the original expression:
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Final result:
So, the result of the operation is 3.5.
Would you like more details on any part of this solution or further clarification?
Here are some related questions:
- How can you convert any repeating decimal into a fraction?
- What are the rules for dividing fractions?
- How would the problem change if the repeating decimal was different, such as ?
- How do you simplify complex fractions?
- What is the relationship between mixed numbers and improper fractions?
Tip: Always remember that dividing by a fraction is equivalent to multiplying by its reciprocal!
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Math Problem Analysis
Mathematical Concepts
Repeating Decimals
Fractions
Division of Fractions
Formulas
Convert repeating decimal to fraction: 2.3̅ = 7/3
Subtract fractions: 1 - 1/3 = 2/3
Divide by a fraction: a / b = a * (1/b)
Theorems
Division by a fraction is the same as multiplying by its reciprocal
Suitable Grade Level
Grades 6-8