C5leociojgonz4 C5leociojgonz4

06-08-2016
Mathematics

contestada

What is 0.194 with 94 repeating into a fraction?

Respuesta :

MsEHolt MsEHolt

12-06-2018

The correct answer is 193/990.

Explanation:
Let x=0.194949494...
This would make 10x=1.94949494... and 1000x=194.94949494....

Subtracting these, we have
(1000x-10x)=(194.949494-1.949494)
990x=193.

Divide both sides by 990:
990x/990 = 193/990
x=193/990.

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