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 Author: questioner [ Thu Mar 29, 2012 4:40 am ] Post subject: GMAT Arithmetic 13/3 + 2 × (52/12) =A. 13B. 10.4C. 10 3/4D. 10 2/3E. 7 1/3----------Hi, can you please breakdown this fraction problem step by step? I reviewed the answer key, but I am still confused. Thank you!

 Author: Gennadiy [ Thu Mar 29, 2012 4:51 am ] Post subject: Re: a practice question: fractions 13/3 + 2 × (52/12) =First of all, let's look at the original expression: 13/3 looks ok. So we let it be for now. 2 × (52/12) This term can be simplified at least by dividing the numerator and denominator by 2. So let's do it.52/12 = 26/6It's clear that we can simplify further dividing by 2.26/6 = 13/3We got the same fraction as the first term of the original expression. So the expression becomes:13/3 + 2 × (13/3)Now we can take the common multiplier of the two terms, 13/3, out:13/3 + 2 × (13/3) = (13/3)(1 + 2)Note, that 13/3 = (13/3) × 1The rest is simple:(13/3)(1 + 2) = (13/3) × 3 = 13The correct answer is A.----------Another way to simplify 2 × (52/12) is the following:(2 × 52)/12 = 52/6 = 26/3Then we just add two fractions with the same denominator:13/3 + 26/3 = 39/3And simplify the result dividing the numerator and the denominator by 3:39/3 = 13/1 = 13

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