Asked by connexus schoology unit 3 exponents

Put the steps in order for changing the repeating decimal, which is rational, to a ratio or fraction. 0.171717.... = what fraction?

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1.x = 17/00
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2.subtract (x = 0.171717....)
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3.100x = 17.1717....
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4.x = 0.171717
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5.99x = 17
Answered by Bosnian
100 • 0.1717... = 17.1717...

100 • 0.1717... - 0.1717... = 17.1717... - 0.1717...

99 • 0.1717... = 17

0.1717... = 17 / 99
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