Question

just a conceptual question :

is 112/788 a rational number?

Answer 1

I know the ans. but want to know from you all.

Answer 2

a rational number is an integer or a fraction and 1112/788 is a fraction so therefore it is rational :)

Answer 3

Hmn i will wait for others reply
@sauravshakya and @Yahoo! you want to tell your opinion?

Answer 4

i also Go...with yummy

Answer 5

yes its ration.. p/q form,,ofcorse..

Answer 6

of course it is a rational number

Answer 7

WRONG EVERY ONE

rational numbers are those numbers who can be represented in p/q form where p and q are integers and q is not equal to zero but also the fraction must be simplified...

hence 112/788 is NOT rational number

Answer 8

Any number which can written in p/q ------- Rational

Answer 9

no yahoo it must be in simplified form also

Answer 10

56/394 = 23/197

Answer 11

I just found the proof my answer: http://www.allmathwords.org/en/r/rationalnumber.html

Answer 12

Since all rational numbers can be represented as the ratio of two integers, the fraction can be written as where and . Using the properties of multiplication, Since a1, a2, b1 and b2 are integers, a1b2 and a2b1 are also integers, is a rational number.

Answer 13

@mathslover http://www.mathsisfun.com/rational-numbers.html check out the examples there...it says 55/100 is a rational number. please explain that hten

Answer 14

in your link \[\frac{12.6}{7}\]that can be simplified too..but it says it's a rational number

Answer 15

Yup...

Answer 16

Oh ya..... @lgbasallote has got some point

Answer 17

hmn i am giving better and reliable link

Answer 18

they must be in simplified form

Answer 19

u see 23/197

Answer 20

Note that ratios can be reduced (as fractions are) by dividing each quantity by the common factors of all the quantities. This is often called "cancelling." As for fractions, the simplest form is considered to be that in which the numbers in the ratio are the smallest possible integers.

Answer 21

i see a math battle coming up

Answer 22

''A rational number is a real number that can be expressed exactly as the ratio of two integers.[1]''
It doesn't say that it must be simplified fraction.....

Answer 23

Simplified Form

Answer 24

that is a simple definitions but if we go deeper in that we will find the above part as i mentioned above

Answer 25

well leave this everything..................

What I know is that all of you are correct INCLUDING @mathslover...... Even mathslover has got an important point........ while proving that any number rational or irrational we take it as for granted that the numerator and denominator don't have any common factor except 1

Answer 26

also for your all information :

SOURCE : wikipedia

@vishweshshrimali5 that is just a discussion

Answer 27

@mathslover
i get your point, a rational number it the actual precise ratio of portions x to portions y, without any common factors

Answer 28

right...

Answer 29

I can't see what's going on everyone is typing a reply

Answer 30

my post is continuously going down....... :'(

Answer 31

as vishweshshrimali5 mentioned:

the numerator and denominator must have HCF as 1

Answer 32

ok wait everyone for 1 minute please

Answer 33

do any1 has doubt left

Answer 34

Let me say a point

Answer 35

So, 4/2 isnt a rational number

Answer 36

See

I ask u all is g (acc. due to gravity) is a constant ?

Answer 37

no @vishweshshrimali5

Answer 38

@sauravshakya @UnkleRhaukus @lgbasallote @Yahoo! and everyone else

Answer 39

@mathslover it seems the definition you posted (Note that ratios can be reduced (as fractions are) by dividing each quantity by the common factors of all the quantities. This is often called "cancelling." As for fractions, the simplest form is considered to be that in which the numbers in the ratio are the smallest possible integers. ) is about ratio..not rational numbers

Answer 40

@lgbasallote first answer my question please

Answer 41

A rational number is a number that can be written as a simple fraction (i.e. as a ratio).

@lgbasallote

Answer 42

nope

Answer 43

this 1 sentence has all the points

Answer 44

furthermore...that definition was under REDUCTION of ratios...

Answer 45

simple fraction =/= simplified fraction

Answer 46

ACTUALLY, acc. due to gravity differs from place to place

Answer 47

@Callisto do you agree with common ration?

Answer 48

Well what I want to say is that........... It is NOT wrong saying that g IS a constant because we all take g = 9.8 m/s^2 in all numericals

Answer 49

keyword *can*

Answer 50

only ratonal numbers can be exp in p/q form

Answer 51

right saurav

since "g" at poles > g at equator

Answer 52

Has anyone of you ever taken different values of g for numericals

Answer 53

I can't believe 4/2 is not a rational number...

Answer 54

A rational number is a number that CAN be written as a simple fraction

it doesnt say "A rational number is a number that IS written as a simple fraction"

Answer 55

Nope why because we take it as granted

We want to make things simple

Answer 56

But, what is the reality that g is not a constant

Answer 57

just because something CAN be done doenst mean it HAS to be done

Answer 58

no @vishweshshrimali5

i only take g = 9.8 m/s^2

@Callisto you can take that in regular answering etc. but notice that if we go deeper in this topic we have :

4/2 is a fraction but not a rational number

Answer 59

6.7 G is a constant
9.8 N depends of location

Answer 60

so you're saying \[\frac 21\] is not rational and 2 i rational right?

Answer 61

Similar is the case here whenever someone asks us 4/2 is a rational number ?????? we say YES we never look out for the correct definition

Answer 62

right.. @vishweshshrimali5

Answer 63

But,what is wrong there

4/2 = 2

Answer 64

and 2 is rational so we say 4/2 is also rational

Answer 65

if you tell me that 2 is rational and 2/1 is not rational then i'll commit suicide... 2 is not expressed as a quotient of two integers...

Answer 66

what have we done ????????

we have simplified the concept for our ease
otherwise that would create the same problem as here

Answer 67

i'd say \[\frac21\]is perfectly rational

Answer 68

of course it is @UnkleRhaukus

since it is in simplest form

Answer 69

but according to mathslover it should be 2 :|

Answer 70

@lgbasallote , @mathslover , @Callisto , @Yahoo! , @sauravshakya etc..

no one is wrong in this discussion

what @mathslover is saying is the correct definition and what everyone else is saying is the simplified version of it because even simplified fraction = non simplified fraction

So, I think that this is the right time to close this discussion

And at last hats off @UnkleRhaukus for his perfect explanation

Answer 71

Is 4:2 a ratio?

Answer 72

2/1 is not in simplest form @mathslover ...2 is the simplest form

Answer 73

no @lgbasallote 2= 2/1 both are in simplified form since their HCF IS 1

but 4/8 has not a common factor as 1

Answer 74

No @lgbasallote

2 is not the simplified form of a rational number

Answer 75

i think a rational number is a function of two numbers

Answer 76

Yes @UnkleRhaukus

Answer 77

exactly my point @vishweshshrimali5

Answer 78

what i was saying that:

simplified form that is HCF is 1

Answer 79

2/1 has HCF = 1
but 4/8 has HCF = ? can u tell me lgba at least it is not equal to 1

Answer 80

@mathslover do you agree that 4/8 CAN be expressed in simplest form?

Answer 81

And @lgbasallote that is what @mathslover is saying !!!!!

Answer 82

no @vishweshshrimali5 it's not

Answer 83

@lgbasallote yes

Answer 84

is product of two semi definite matrices again a semi definite ? see A is semi definite one .that follows uAu' >= 0 ; where u is any column vector .

Answer 85

Mathslover kindly close this question now please

That will create a math war here !!!!

Answer 86

is it going to be a war or is just a discussion? confused

Answer 87

then it fits your definition "A rational number is a number that can be written as a simple fraction"

it's rational. period

Answer 88

Thanks a lot

Answer 89

can i continue this discussion again?

Answer 90

NO

Answer 91

is product of two semi definite matrices again a semi definite ? see A is semi definite one .that follows uAu' >= 0 ; where u is any column vector . hey did you get what i am asking

Answer 92

oops :'(

ok

Answer 93

@lgbasallote no more discussion

Answer 94

Please