Question

A rational number lying between x and y is

Answer 1

Also, between two rational numbers there are infinite number of rational numbers.

Let x, y (x < y) be two rational numbers. Then

x+y

2

- x =

y−x

2

> 0; Therefore, x <

x+y

2

y -

x+y

2

=

y−x

2

=

y−x

2

> 0; Therefore,

x+y

2

< y.

Therefore, x <

x+y

2

< y.

Thus,

x+y

2

is a rational number between the rational numbers x and y.

Answer 2

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