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SCORPION-xisa [38]
3 years ago
15

Find fractional notation for the infinite sum (these are geometric series) 0.1919191919

Mathematics
1 answer:
Paladinen [302]3 years ago
8 0
Let x = 0.191919...
Now, we want to find some sort of relationship with x and 0.191919...

If we multiply x by 100, we get:
100x = 19.19191919...

Now, it's clear that the decimal places will cancel when we subtract it:
100x - x = 19.19191919... - 0.19191919...
99x = 19

Solving for x, we get:
x = \frac{19}{99}
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