Official Guide Explanation:
Problem Solving #176




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Solution and Metadata

Question: 176
Page: 85
Difficulty: 5 (Moderate)
Category 1: Arithmetic > Fractions >

Explanation: Convert the mixed numbers to improper fractions, combine the resulting fractions in the numerator and denominator, and then divide by the fraction in the denominator. The process looks like this:

((2(3/5) - 1(2/3))/((2/3) - (3/5))) = (((13/5) - (5/3))/((2/3) - (3/5))) = ((((3(13))/15) - ((5(5))/15))/(((5(2))/15) - ((3(3))/15))) = (((39/15) - (25/15))/((10/15) - (9/15))) = ((((39 - 25)/15))/(((10 - 9)/15))) = (((14/15))/((1/15))) = ((14/15))((15/1)) = (14/1) = 14, choice (B).

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