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Hello, I'm just beginning my road to the gmat and recently bought the set of manhattan study guides for help. I just started reading and taking notes on mgmat roadmap guide 0 when I came across a method I've never seen before. Unfortunately, the book does not explain how the method was done.
On page 61 Chapter 3 the book is talking about approximate math and using an example of \(273/0.77=270/0.75=270*4/3=270+(270/3)=270+90=360\).
The part that has me scratching my head is where the book goes from \(270*4/3\) to \(270+(270/3)\). Does anyone know how this work? Maybe I've forgotten more than I thought in the last four years after college
Thanks in advance for any replies.
-Matt
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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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Hello, I'm just beginning my road to the gmat and recently bought the set of manhattan study guides for help. I just started reading and taking notes on mgmat roadmap guide 0 when I came across a method I've never seen before. Unfortunately, the book does not explain how the method was done.
On page 61 Chapter 3 the book is talking about approximate math and using an example of \(273/0.77=270/0.75=270*4/3=270+(270/3)=270+90=360\).
The part that has me scratching my head is where the book goes from \(270*4/3\) to \(270+(270/3)\). Does anyone know how this work? Maybe I've forgotten more than I thought in the last four years after college
Thanks in advance for any replies.
-Matt
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\(270*4/3=270(1+1/3)=270+270/3\), because \(4/3=(3+1)/3=3/3+1/3=1+1/3\).
Hello, I'm just beginning my road to the gmat and recently bought the set of manhattan study guides for help. I just started reading and taking notes on mgmat roadmap guide 0 when I came across a method I've never seen before. Unfortunately, the book does not explain how the method was done.
On page 61 Chapter 3 the book is talking about approximate math and using an example of \(273/0.77=270/0.75=270*4/3=270+(270/3)=270+90=360\).
The part that has me scratching my head is where the book goes from \(270*4/3\) to \(270+(270/3)\). Does anyone know how this work? Maybe I've forgotten more than I thought in the last four years after college
Thanks in advance for any replies.
-Matt
\(270*4/3=270(1+1/3)=270+270/3\), because \(4/3=(3+1)/3=3/3+1/3=1+1/3\).
Show more
Though there is nothing wrong with their approach it's still a bit strange why they are going from \(270*\frac{4}{3}\) to \(270*\frac{4}{3}=270(1+\frac{1}{3})=270+\frac{270}{3}=270+90=360\), when we could directly reduce 270 by 3 in \(270*\frac{4}{3}\) and write \(270*\frac{4}{3}=90*4=360\).
Hello, I'm just beginning my road to the gmat and recently bought the set of manhattan study guides for help. I just started reading and taking notes on mgmat roadmap guide 0 when I came across a method I've never seen before. Unfortunately, the book does not explain how the method was done.
On page 61 Chapter 3 the book is talking about approximate math and using an example of \(273/0.77=270/0.75=270*4/3=270+(270/3)=270+90=360\).
The part that has me scratching my head is where the book goes from \(270*4/3\) to \(270+(270/3)\). Does anyone know how this work? Maybe I've forgotten more than I thought in the last four years after college
Thanks in advance for any replies.
-Matt
\(270*4/3=270(1+1/3)=270+270/3\), because \(4/3=(3+1)/3=3/3+1/3=1+1/3\).
Show more
Another approach, should you find it easy is to convert Denominator (Dr) in fractions closest to an integer.
Here Dr = 0.77, if we multiply it with 9/7, we'll have it .99 which is very close to 1. When we do that, we need to multiply the Numerator (Nr) with 9/7 as well to maintain congruity. Thus, Nr becomes 273 * 9/7 = [7* 39] *9/7 = 39* 9 = 351. Therefore, 273/ .77 is nearly simillar to 351/.99 [Calculator gives me the fraction as 354.54]. Since, you have time at hand, this approach might help u in the long run. I don't have much time so i'm following Bunuel's post like an ant is driven to sugar
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.