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Thread: Fractions..

  1. #1
    Eager! krakow's Avatar
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    Question Fractions..

    Sponsored Ad:
    X is the set of all fractions in the form a-10/a+10,
    where a is a positive integer less than 25.

    Column A

    The product of all the fractions that are in X

    Column B

    1/25
    --------------------Answer is B.
    Please enjoy!

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    An Urch Guru Pundit Swami Sage thebullfighter's Avatar
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    Re: Fractions..

    Quote Originally Posted by krakow
    X is the set of all fractions in the form a-10/a+10,
    where a is a positive integer less than 25.

    Column A

    The product of all the fractions that are in X

    Column B

    1/25
    --------------------Answer is B.
    Please enjoy!
    for a frm 1->9, fractions formed are all negative. for a=11->all are positive.

    Hence, their Product will be Negative. (as 9 fractions with '-'/minus sign.)
    So, Column A is Negative.
    & Column B is Positive.

    Hence, B>A
    Opportunities seem Bigger going, than coming.
    make way for th bull -- Thebullfighter.

    Happy New Year 2005 to All.

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    Re: Fractions..

    Quote Originally Posted by thebullfighter
    for a frm 1->9, fractions formed are all negative. for a=11->all are positive.

    Hence, their Product will be Negative. (as 9 fractions with '-'/minus sign.)
    So, Column A is Negative.
    & Column B is Positive.

    Hence, B>A
    As 'a' is a positive integer less than 25.Then one of the values of 'a' must be 10. The one of the fractions will be 0.which in turn makes the product 0. Thus B>A.

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    An Urch Guru Pundit Swami Sage thebullfighter's Avatar
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    Re: Fractions..

    Quote Originally Posted by panther_vip
    As 'a' is a positive integer less than 25.Then one of the values of 'a' must be 10. The one of the fractions will be 0.which in turn makes the product 0. Thus B>A.
    And all these years i thought '0' was an INTEGER, and not a Fraction. (integers & fractions, Two Diff. caterories of Rational Numbers. where Rational numbners are defined as any number that can be expressed in th form p/q, where qis not= 0)

    & somehow, i will keep believin in the same.

    HTH

    Bull.
    Opportunities seem Bigger going, than coming.
    make way for th bull -- Thebullfighter.

    Happy New Year 2005 to All.

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    shuriyoken awhig's Avatar
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    Re: Fractions..

    Quote Originally Posted by thebullfighter
    for a frm 1->9, fractions formed are all negative. for a=11->all are positive.

    Hence, their Product will be Negative. (as 9 fractions with '-'/minus sign.)
    So, Column A is Negative.
    & Column B is Positive.

    Hence, B>A
    Column A will be 0. You are forgetting the case of a = 10.That is (10-10)/20 = 0

    Thus A < B

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    An Urch Guru Pundit Swami Sage thebullfighter's Avatar
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    Re: Fractions..

    Quote Originally Posted by awhig
    Column A will be 0. You are forgetting the case of a = 10.That is (10-10)/20 = 0

    Thus A < B
    it's Not 0.

    please refer to post #4



    __________________________________________________ _____________
    Quote Originally Posted by krakow
    X is the set of all fractions in the form a-10/a+10,
    where a is a positive integer less than 25.

    Column A

    The product of all the fractions that are in X

    Column B

    1/25
    --------------------Answer is B.
    Please enjoy!
    Opportunities seem Bigger going, than coming.
    make way for th bull -- Thebullfighter.

    Happy New Year 2005 to All.

    AID Appeal for Tsunami Disaster Relief

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    Eager! krakow's Avatar
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    Exclamation Re: Fractions..

    what about p = 0, and q = 1

    p/q = ?


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    An Urch Guru Pundit Swami Sage thebullfighter's Avatar
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    Re: Fractions..

    Quote Originally Posted by krakow
    what about p = 0, and q = 1

    p/q = ?

    p/q= 0 (<- is an integer, nt Fraction)
    in th same way as 5/1 is an integer.

    integers are Rational numbers. Rational numbers expressed in th form of p/q & Two Diff. types of Rational numbers are Integers & Fractions.

    Where, Integers are: (....-2,-1), (1,2,3....) & '0'
    and others are Fractions.
    Opportunities seem Bigger going, than coming.
    make way for th bull -- Thebullfighter.

    Happy New Year 2005 to All.

    AID Appeal for Tsunami Disaster Relief

  9. #9
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    Re: Fractions..

    Quote Originally Posted by thebullfighter
    p/q= 0 (<- is an integer, nt Fraction)
    in th same way as 5/1 is an integer.

    integers are Rational numbers. Rational numbers expressed in th form of p/q & Two Diff. types of Rational numbers are Integers & Fractions.

    Where, Integers are: (....-2,-1), (1,2,3....) & '0'
    and others are Fractions.
    Hi Bullfighter,

    What you say has sense but sounded weird to me, so I decided to investigate. In "Math Review for practicing to take the GRE general Test" the ETS' staff states:

    "A fraction is a number of the form a/b, where a and b are integers and b <>0. The a is called the numerator of the fraction, and b is called the denominator."

    and that's the only definition they give. So, as far as ETS concerns, it seems that fractions are just rational numbers. Barron's seems to agree. Moreover, they expresely say it:

    "A fraction with 1 as the denominator is the same as the whole number that is its numerator"

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    An Urch Guru Pundit Swami Sage thebullfighter's Avatar
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    Re: Fractions..

    well then!! what can i say. But i ws just laying down th actual Basics(Facts).
    I too have seen Weird logics with people & even ETS. But this 1 goes off th limit. Fractions & Integers are actually Two Different categories OF Rational Numbers.

    ie. Rational numbers expressed in th form of p/q & Two Diff. types of Rational numbers are Integers & Fractions.

    Where, Integers are: (....-2,-1), (1,2,3....) & '0'
    and others are Fractions.


    http://dictionary.reference.com/search?q=integers&r=67
    http://dictionary.reference.com/search?q=fractions&r=67

    http://www.tpub.com/math1/5.htm
    "The emphasis in previous chapters of this course has been on integers (whole numbers). In this chapter, we turn our attention to numbers which are not integers. The simplest type of number other than an integer is a COMMON FRACTION. Common fractions and integer8 together comprise a set of numbers called the RATIONAL NUMBERS; this set is a subset of the set of real numbers."

    (but im sure there will be Many counter links too. as rarely any1 gets th logic.)

    this 1 is fimiliar to another concept(basic/Fact/Can not be changed) sometimes messed up by many.

    For the following Qs, slove for x.
    Q1. x^2 = 16
    Q2. x = sqrt16

    SPOILER: These two Qs are not the same. Q1. OA is 4,-4 & Q2. OA is Only 4.

    yaps i know many of u thought so, but because i posted em' together & while trying to make a point which leaves a hint. otherwise, believe me.. i hav seen a many with th same answers for both. ie 4, -4.


    I hope u all got th idea.


    But i'll advice (if th thingi about ETS is true) to follow the other approach itself. ie 0 (or even 1,2,3,4,...) are also Fractions. ( )

    Just trying to help.

    regards.
    Bull
    Opportunities seem Bigger going, than coming.
    make way for th bull -- Thebullfighter.

    Happy New Year 2005 to All.

    AID Appeal for Tsunami Disaster Relief

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