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Lelechka [254]
3 years ago
6

How do you convert 0.36 (repeating 6) to a fraction?

Mathematics
1 answer:
RoseWind [281]3 years ago
6 0
 0.363636363636

<span>..................=<span>411</span></span>

Explanation:

Le <span>x=0.363636363636..................</span>

Now as there are two digits repeating immediately after decimal point, we multiply above by 100 and get

<span>100x=36.363636363636..................</span>

Now subtracting first equation from second we get

<span>99x=36</span> and hence <span>x=<span>3699</span>=<span><span>9×4</span><span>9×11</span></span>=<span>4<span>11</span></span></span>

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