# How to convert decimals into rational numbers

2
by dolly3

2015-10-19T12:02:51+05:30

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For example take 23.8 it can be written as 238/10 =154/5 if you divide 154 by 5 answer will be 23.8.
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2015-10-19T12:09:44+05:30

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let for example 0.5265 we have to convert this into rational number then,

5265/10000 (for terminating number)

let for an example 0.52525252525..........(for non- terminating number)

x=0.5252....                                        (1)

10x=5.252....                                      (2)

100x=52.52....                                    (3)

from equation (1) and (3)...

100x-x=52.5252.....-0.5252...

99x=52

x=52/99.

I hope that this will help u...........