Math Problem Statement
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Solution
The image shows the number with a bar over the digits "56," indicating that these digits repeat indefinitely. This notation represents a repeating decimal, which can be written as:
This repeating decimal can also be expressed as a fraction. Let me calculate that for you.
Let's denote . To convert this repeating decimal to a fraction:
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Multiply by 10000 to move the repeating part to the left of the decimal point:
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Subtract the original equation from this new equation:
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Solve for :
Thus, as a fraction is .
Would you like any further details or have any questions about this process?
Here are some related questions you might find interesting:
- How can you convert any repeating decimal to a fraction?
- What is the significance of repeating decimals in mathematics?
- How do you identify the repeating part of a decimal?
- Can repeating decimals be represented as terminating decimals?
- How can this fraction be simplified further?
Tip: When dealing with repeating decimals, always consider the length of the repeating sequence to determine the appropriate power of 10 for multiplication.
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Math Problem Analysis
Mathematical Concepts
Decimal Representation
Repeating Decimals
Fraction Conversion
Formulas
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Theorems
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Suitable Grade Level
Grades 9-12