how do you write 0.8 continuing as a fraction?

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26-03-2015
Mathematics

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how do you write 0.8 continuing as a fraction?

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iGreen iGreen · Answer 1 · 2015-03-26T21:25:58+01:00

iGreen iGreen

26-03-2015

x = 0.8888

Multiply 10 to both sides:

10x = 8.8888

Subtract the two equations:

10x - x = 8.8888 - 0.8888

9x = 8

Divide 9 to both sides:

x = 8/9

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naǫ naǫ · Answer 2 · 2015-03-26T21:26:58+01:00

naǫ naǫ

26-03-2015

[tex]x=0.8888... \\ 10x=8.8888... \\ 10x-x=8.8888...-0.8888... \\ 9x=8 \\ x=\frac{8}{9}[/tex]

The fraction is 8/9.

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