Question

find 5 rational numbers between 1 and 2

Answer 1

Answer:

Hint- consider any five numbers between 1 and 2 and convert them into lowest form fraction.

As we know rational numbers are those which are written in the form of р where q + Oand р is written

in lowest form, such that p and q have not no common

factors except 1.

2

For example as this fraction is written in lowest form 3

and does not have any common factors except 1, so this

is a rational number.

Now we have to find out the rational numbers between

1 and 2

I.e. greater than 1 and less than 2.

So consider five numbers between 1 and 2 which is

{1.1, 1.2, 1.3, 1.4, 1.5}

Now, convert these numbers into fraction

So consider five numbers between 1 and 2 which is

{1.1, 1.2, 1.3, 1.4, 1.5}

Now, convert these numbers into fraction

11

12

1.3 1.4 = 14 10' 1.5 = Now, convert these fraction into lowest form such that 15 10

1.1

10

1.2 =

> 1.3 :

+ 1.4 =

» 1.5

So,

{

13

10' 10

these fraction have not any common factors

+ 1.1 :

11

10

12 6

10 5

13

10

14 7

10 5

15 3

10 2

11 6 13 7 3 10' 5' 10' 5 ' 2

numbers between 1 and 2.

» 1.2 ||

= =

are the required five rational