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0.135135... = 135/999 = 15/111

It is 5/37 in its simplest form.

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Q: What is .135 repeating as a fraction?
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To convert 0.135 repeating to a fraction, we can set x = 0.135135135... and then multiply by 1000 to shift the decimal point: 1000x = 135.135135... Subtracting the original equation from this new equation gives 999x = 135. Subtracting the two equations gives 999x - x = 135 - 0.135, simplifying to 998x = 134.865. Dividing both sides by 998 gives x = 134.865/998, which simplifies to 6743/49900. Therefore, 0.135 repeating as a fraction is 6743/49900.


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In fraction form, 53.3 repeating can be expressed as 533/9. To convert a decimal with a repeating decimal point to a fraction, we first determine the non-repeating part of the decimal (in this case, 53), then subtract it from the entire decimal to isolate the repeating part (0.3 repeating). Next, we express the repeating part as a fraction over 9 (since there is one digit repeating). Thus, 53.3 repeating is equal to 533/9 in fraction form.


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