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It's equal to 1077/990 which simplifies to 107/90 or as an improper fraction 907/90.

Regard the original number as 10 + 0.07777777.....

Put the 10 aside for the moment and multiply the second part of the number by 100.

100 x 0.07777777.........= 7.7777777....

subtract the original part - 0.0777777....

This produces the answer 7.7 which equates to 99 times the original second part.

Then, 0.077777... = 7.7/99 = 77/990

Now bring back the 10 and we have 10.077777... = 10 + 77/990 = 1077/990 = 107/90

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Q: What is 10.0777777777 as a fraction?
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