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Thank you! I definitely need more practice making problems easier for myself :)
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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

\(270*4/3=270(1+1/3)=270+270/3\), because \(4/3=(3+1)/3=3/3+1/3=1+1/3\).

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 :)



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