Question

find 3 rational numbers between 1 /4 and 1 / 5

Answer 1

The two numbers given are :-

1/5

and

1/4

so,

1/5

=(1×4)/(5×4)

=4/20

= (4×4)/(20×4)

=16/80

and

1/4 = (1×5)/(4×5)

= 5/20

=(5×4)/(20×4)

=20/80


=>(1/5= 16/80),17/80,18/80,19/80,(1/4= 20/80)

therefore,

17/80 , 18/80 , 19/80 are three rational numbers between 1/5 and 1/4

Answer 2

hey!!

here is your answer >>>

Practically, to find Number of rational numbers between any two fractions! we will have to Make these equivalent fractions, that is to make their denominators equal!.

1/4 and 1/5!

LCM is 20!

so,

we have to multiply 1/4 with 5 and 1/5 with 4!.

that is , 5/20 and 4/20!

But there are no rational numbers between them!.

Inorder to get rational numbers , we will have to make them equal!.

Let us multiply both the denominators and neumerators with 10!

We will get,

50/200 and 40/200!

Now we can write rational numbers between them!

41/200, 42/200, 43/200

Hope this helps!