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A company wishes to distill a 0.830 mole fraction ethanol (0.170 mole fraction water) solution. To aid in the distillation process, a 0.950 mole fraction benzene (0.050 mole fraction water) mixture containing fresh benzene and a recovered benzene solution is added.
If the numerator of a fraction is equal to or larger than the denominator, the fraction is known as an improper fraction. In the fraction 15/8, if the indicated division is performed, the improper fraction is changed to a mixed number, which is a whole number and a fraction: 15 7. ---- = 1 ---.