Asked by Demon
Write 0.23 repeating as a fraction
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Answered by
GPT 3.5
To write 0.23 repeating as a fraction, let's call it x:
x = 0.232323...
To eliminate the repeating part, we can multiply both sides of the equation by 100 to shift the decimal point two places to the right:
100x = 23.232323...
Now subtract the original equation from the new equation to eliminate the repeating part:
100x - x = 23.232323... - 0.232323...
This simplifies to:
99x = 23
x = 23/99
Therefore, 0.23 repeating is equal to 23/99 as a fraction.
x = 0.232323...
To eliminate the repeating part, we can multiply both sides of the equation by 100 to shift the decimal point two places to the right:
100x = 23.232323...
Now subtract the original equation from the new equation to eliminate the repeating part:
100x - x = 23.232323... - 0.232323...
This simplifies to:
99x = 23
x = 23/99
Therefore, 0.23 repeating is equal to 23/99 as a fraction.
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