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"Write these recurring decimals as fractions in their simplest form. Show your method" 0.8 recurring 0.23 recurring

"Write these recurring decimals as fractions in their simplest form. Show your method" 0.8 recurring 0.23 recurring
asked 204k views
5 votes
"Write these recurring decimals as fractions in their simplest form. Show your method"

0.8 recurring
0.23 recurring

asked
User Badacadabra
by
7.7k points

1 Answer

2 votes
x = 0.888...
10x = 8.888...
10x-x=9x.
9x = 8
x = 8/9


x = 0.2323...
10x = 2.323...
100x = 23.2323...
100x - x = 99x
99x= 23
x = 23/99
answered
User Dan Anderson
by
8.6k points
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