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? (2 points)
The number represented by n has infinty repeating digits

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. (2 points)

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. (2 points)

4. Write the original equation, n = 0.1515... underneath your equation from question 3. Then subtract the equations. Show your work. (2 points)

5. Write n as a fraction in simplest form. Show your work. (2 points)

A fraction can be defined as a numerical quantity which isn't expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

The parts of a fraction.

In Mathematics, a fraction comprises two (2) main parts and these include the following:

Numerator

Denominator

How to determine the fractional equivalent of this repeating decimal?

By critically observing the given number, we can infer and logically deduce that it has two (2) repeating digits. Since this number has two (2) repeating digits, we would have to multiply n by 100 as follows:

100n = 0.1515

100n = 15.15 .......equation 1.

n = 0.1515 .......equation 2.

Subtracting eqn. 2 from eqn. 1, we have:

99n = 15

n = 15/99

Dividing the numerator and denominator by 3, we have:

n = 5/33.

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