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What is the fraction of 2.(9)?

Author :

Submitted : 2018-06-14 07:36:03    Popularity:     

Tags: fraction  2.  

By fraction I mean "x/y", I don't know if it is the correct English term. But it is a rational number, so it should be possible to make, right? Update: By 2.(9) I mean 2.999999999...

Answers:

2.9 = 29/10

x = 2.999...
10x = 29.99...
10x-x = 29.99... - 2.999...
9x = 27
x = 3

Let x = 2.99999999……..
Then 10x = 29.9999999……..

Substrate x from 10x :
10x - x = 29.9999999…….. - 2.99999999……..
9x = 27
x = 3
2.99999999…….. = 3 (or 3/1)

By 2.(9) do you mean 9 repeating? 2.99999....? That is equal to 3. In fraction form, 3/1.

2.9? There’s an infinite answer unless you mean the reduced form.

Reduced: 2.9 = 2 9/10 = (10*2 + 9)/10 = 29/10

But 29/10 = 58/20 = 57/30 = 116/40 = ...



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