Answer
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Step 1:I'll solve this step by step using precise LaTeX formatting:
Step 2:: Set up the division
To find the decimal expansion of $$\frac{7}{22}$$, we will perform long division.
Step 3:: Initial Division
- Subtract 0 from 7: $$7 - 0 = 7
- First, 7 is less than 22, so we start with 0 and add a decimal point
Step 4:: Continue Division
- $$70 - 66 = 4
- 3 \times 22 = 66
Step 5:: Observe the Pattern
- $$40 - 22 = 18
- 1 \times 22 = 22
Step 6:: Recognize Repeating Decimal
The digits 18 will continue to repeat, creating a repeating decimal.
Final Answer
(The bar over 318181 indicates it repeats infinitely)
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