What is 2.16 repeat rewrite as a fraction

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asked Mar 23, 2016 190k views

1 Answer

Alex MacArthur · Answer 1 · 2016-03-27T04:30:50+0000

2.16 repeat as a fraction is:

x = 2.16666666
10x = 21.6666666
100x = 216.666666
100x - 10x = 216.666666 (repeat) - 21.6666666 (repeat) = 195
90x = 195
x = 195 / 90
x = (195/3) / (90/3)
x = 65 / 30
x = (65/5) / (30/5)
x = 13 / 6

x = 13/6

What is 2.16 repeat rewrite as a fraction

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