What is 0.194 with 94 repeating into a fraction?

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Pavel Belousov · Answer 1 · 2017-10-06T01:29:44+0000

The correct answer is 193/990.

Step-by-step 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.

What is 0.194 with 94 repeating into a fraction?

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