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Math Help - Fractions and decimal point combined

  1. #1
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    Fractions and decimal point combined

    Is it wrong to write 5.58 followed by one third for instance? The number I am imagining is 5.58333333333. I know I could put a dot over the first 3 and omit the rest.
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  2. #2
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    Would your reader understand?
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    Quote Originally Posted by wonderboy1953 View Post
    Would your reader understand?
    Yes, that's the crucial point. In general it is not good practice to combine decimals and fractions. In this particular case the reader might think you meant 5.58+ \frac{1}{3}= 5.913333\cdot\cdot\cdot. Perhaps it would be best to use just the fraction: 5\frac{525}{900} or even \frac{5025}{900}.
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    Quote Originally Posted by Stuck Man View Post
    Is it wrong to write 5.58 followed by one third for instance? The number I am imagining is 5.58333333333. I know I could put a dot over the first 3 and omit the rest.
    I would not write 5.58\frac{1}{3}, but if it's convenient you can define notation however you want, as long as you do so clearly.

    Options that are more standard:

    5.58+\frac{1}{300}

    5.58\overline{3}

    5.58(3)

    \frac{67}{12}

    5.58333\dots
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