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Viktor [21]
2 years ago
15

What’s 0.17 repeating as a fraction

Mathematics
1 answer:
Murljashka [212]2 years ago
7 0

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

<em>x</em> = 0.1777...

Then

10<em>x</em> = 1.777...

100<em>x</em> = 17.777...

100<em>x</em> - 10<em>x</em> = 17.777... - 1.777...

90<em>x</em> = 16

<em>x</em> = 16/90 = 8/45

If both 1 and 7 are repeating, let

<em>x</em> = 0.171717...

Then

100<em>x</em> = 17.171717...

100<em>x</em> - <em>x</em> = 17.171717... - 0.171717...

99<em>x</em> = 17

<em>x</em> = 17/99

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