[Tejashwini Chettipelli]

A rational number can be defined as the quotient a/b of two integers so that q is not equal to zero.

Given two rational numbers are -1/3 and 1/3

we need to find five rational numbers between the given two numbers

-1/3 can also be written as -1/3 * 6/6 = -6/18

and,

1/3 can also be written as 1/3 * 6/6 = 6/18

(when we do the multiplication we get the same values)

we know that the integers between -6 and 6 are: -5,-4,-3,-2,-1,0,1,2,3,4,5.

similarly here for the given range -6/18 to 6/18

the numbers between them are :

-5/18 < -4/28 < -3/18 < -2/18 < -1/18 < 0 < 1/18 < 2/18 < 3/18 < 4/18 < 5/18

we can select any five numbers of our choice from the above list.

The five integers between the given two numbers are:

-2/18, -4/18, 2/18, 3/18, 1/18.

[Tejashwini Chettipelli]

Given that sum of three consecutive odd numbers sum is 27

let us suppose consider an odd number as x

then its next consecutive odd number becomes x+2

the other consecutive odd number is x+4

we can write it as x+(x+2)+(x+4)=27

3x+6=27

subtract 6 from both sides

3x+6-6=27-6

3x=21

x=21/3

x=7

Now x+2=7+2=9

Now x+2=7+4=11

Therefore the numbers are 7,9,11.

• This reply was modified 1 year, 10 months ago by  Tejashwini Chettipelli.