Way back in the olden days (soapstone pencils and slate boards), we wrote mixed fractions with a hyphen. So four and a half would be written as 4-1/2. That made it distinct from the fraction 41/2. Spaces were used around minus signs (operators in math), so one could write
        4-1/2 - 1-3/4 = 2-3/4
which was just a heck of a lot of fun. I never learned how to handle mixed fractions on the digital calculator* -- an abacus -- that I used at the time, though I'm sure there was a method for that.

Jim
* properly speaking, the abacus is more like a register or accumulator than a calculator.

Paul Trusten wrote:
I don't know if it still is, but baseball's nickname has been "America's national pastime." All the time that I was growing up, one aspect of team standings, namely, the number of games behind (GB) the leader a team iswas reported the same way stock prices were reported--in mixed fractions, i.e., four and one-half games were always "4 1/2.". Today, I noticed that both the Boston Red Sox and ESPN Web sites are reporting GB with decimal points! I don't see anybody needing to be reported as 4.25 games behind (a quarter-game doesn't happen), but here's another advance for decimal measurement. Might be just a computer thing, though--posting the GB online probably doesn't lend itself to mixed fractions. But, this long-time mixed fraction result has now been nevertheless decimalized. Buy me some peanuts and about 100 g of Cracker Jack while you're at it, baseball! Paul Trusten, R.Ph.
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