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Order of Operations Problem

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therandawg
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Order of Operations Problem [#permalink] New post   26 Aug 2014, 09:53
I looked up what the answer was but I'm having a hard time getting to that number...

The value of

\((-1)^3+\frac{28}{3}/[(-\frac{14}{3})-\frac{2}{13}*\frac{13}{4}]\)

can be expressed as -\(\frac{a}{b}\) where a and b are coprime positive integers. What is a+b?



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Re: Order of Operations Problem [#permalink] New post   26 Aug 2014, 12:33
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therandawg wrote:
I looked up what the answer was but I'm having a hard time getting to that number...

The value of

\((-1)^3+\frac{28}{3}/[(-\frac{14}{3})-\frac{2}{13}*\frac{13}{4}]\)

can be expressed as -\(\frac{a}{b}\) where a and b are coprime positive integers. What is a+b?


We will do things inside () first
so (-1)^3 = -1
then things inside [ ]
inside that first multiplication
2/13 * 13/4 = 1/2
then subtraction
-14/3 - 1/2 = -31/6

Now division
-1 + ((28/3)/(-31/6))
= -1 - 56/31
= -87/31 = 87/(-31)

a= 87
b = 31
a+b = 87+31 = 118

Hope it helps!
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bazc
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Re: Order of Operations Problem [#permalink] New post   27 Aug 2014, 11:09
Helps to remember the anagram BODMAS

Bracket Of Division Multiplication Addition Subtraction

Left to right takes priority for when two or more operators are together as in your question.
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Re: Order of Operations Problem [#permalink] New post   30 Aug 2014, 00:27
bazc wrote:
Helps to remember the anagram BODMAS

Bracket Of Division Multiplication Addition Subtraction

Left to right takes priority for when two or more operators are together as in your question.


When the hierarchy of operation is the same, then your allowed to go left to right. Otherwise it's PEMDAS/ BODMAS
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Re: Order of Operations Problem [#permalink] New post   01 Sep 2014, 02:20
\(-1^3 + \frac{\frac{28}{3}}{\frac{-14}{3} - \frac{2}{13} * \frac{13}{4}}\)

\(-1 + \frac{\frac{28}{3}}{\frac{-14}{3} - \frac{1}{2}}\)

\(-1 + \frac{\frac{28}{3}}{\frac{-31}{6}}\)

\(-1 - \frac{28}{3} * \frac{6}{31}\)

\(-1 - \frac{56}{31}\)

\(-\frac{87}{31}\)

a+b = 87 + 31 = 118



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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.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
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.
Thank you for understanding, and happy exploring!
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gmatclubot
Re: Order of Operations Problem [#permalink]
01 Sep 2014, 02:20
Moderator:
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

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