What is the fractional equivalent of the repeating decimal n = 0.1515... ? Answer the questions to find out.

1. How many repeating digits does the number represented by n have?

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2. You need to multiply n by a power of 10 to help you find the fraction. Decide on the power of 10 to multiply by, and tell how you identified that number.

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3. Write an equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power.

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4. Write the original equation, n = 0.1515... underneath your equation from question 3. Then subtract the equations. Show your work.

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5. Write n as a fraction in simplest form. Show your work.

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