
It is currently Fri Jul 20, 2018 7:36 pm

View unanswered posts  View active topics

Page 1 of 1

[ 2 posts ] 

Author 
Message 
questioner

Post subject: GMAT Arithmetic Posted: Thu Mar 29, 2012 4:40 am 

Joined: Sun May 30, 2010 3:15 am Posts: 424

13/3 + 2 × (52/12) =
A. 13 B. 10.4 C. 10 3/4 D. 10 2/3 E. 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!


Top 


Gennadiy

Post subject: Re: a practice question: fractions Posted: Thu Mar 29, 2012 4:51 am 

Joined: Sun May 30, 2010 2:23 am Posts: 498

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 = 26/6 It's clear that we can simplify further dividing by 2. 26/6 = 13/3 We 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) × 1
The rest is simple: (13/3)(1 + 2) = (13/3) × 3 = 13 The correct answer is A.
 Another way to simplify 2 × (52/12) is the following: (2 × 52)/12 = 52/6 = 26/3 Then we just add two fractions with the same denominator: 13/3 + 26/3 = 39/3 And simplify the result dividing the numerator and the denominator by 3: 39/3 = 13/1 = 13


Top 



Page 1 of 1

[ 2 posts ] 

Who is online 
Users browsing this forum: No registered users and 3 guests 

You cannot post new topics in this forum You cannot reply to topics in this forum You cannot edit your posts in this forum You cannot delete your posts in this forum You cannot post attachments in this forum

