exotic fraction


a fraction that you might have to deal with when doing a college-level homework problem. it doesn’t necessarily have to contain x or any other variable, but it does have to have to be a numerator-denominator combination that you would not normally see in everyday life. the reason the number is written as a fraction is because writing it as a decimal would require imprecise rounding off and/or because it must be added, subtracted, or multiplied with a similar fraction.
okay, so we just got through establishing that:

(61/99)x = (8/49) + (56/22)y + (45/38) – (1/36)y{(14/45) – (31/29)y} – (2/7)x + (1/18)xx

can be simplified as:
(625/693)x = (2509/1862) + (1/18)xx + (22603/8910)y + (31/1044)yy

which can be further simplified as:
x = (1738737/1163750) + (77/1250)xx + (1740431/618750)y + (2387/72500)yy

-loud sigh- there!! now that we’re done with that headache, i don’t want to see another exotic fraction for the rest of the day!

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