pbroderick2222 pbroderick2222

19-10-2020
Mathematics

contestada

what’s 0.17 repeating as a fraction

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LammettHash LammettHash

19-10-2020

If it's just the 7 that's repeating, let

x = 0.1777...

Then

10x = 1.777...

100x = 17.777...

100x - 10x = 17.777... - 1.777...

90x = 16

x = 16/90 = 8/45

If both 1 and 7 are repeating, let

x = 0.171717...

Then

100x = 17.171717...

100x - x = 17.171717... - 0.171717...

99x = 17

x = 17/99

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