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How do you write 0.8 continuing as a fraction?

How do you write 0.8 continuing as a fraction?
14.0k views
1 vote
How do you write 0.8 continuing as a fraction?

User Nekto
by
7.6k points

2 Answers

3 votes
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
User Navi Gamage
by
8.4k points
3 votes

x=0.8888... \\ 10x=8.8888... \\ 10x-x=8.8888...-0.8888... \\ 9x=8 \\ x=(8)/(9)

The fraction is 8/9.
User Lief Esbenshade
by
8.0k points
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