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How do you convert the 0.789898989 recurring into a fraction simplest form with steps and no calculator?
Smileforananswer
You're trying to get rid of the repeating part by subtracting it.
x = 0.78989
10x = 7.8989
1000x = 789.8989
1000x - 10x = 789.8989 - 7.8989
990x = 782
x = 782/990
Their GCF is 2, so cut them in half.
391/495
Wiki User
∙ 7y ago
Wiki User
∙ 12y agoLet x = 0.789898989...
Then 100x = 78.989898...
Subtracting the first from the second, 99x = 78.9898... - 0.7898... = 78.2
That is x = 78.2/99 = 782/990 which simplifies to 391/495
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What is 4 repeating as a fraction in simplest form?
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What is 0.4 recurring as a fraction?
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It is 1/9.
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