Question

find 6 rational numbers between 3 and 4

Answer 1

7/2, 13/4, 25/8, 15/4, 31/8, 63/16 are six rational numbers between 3 and 4

Answer 2

heya....

Here is your answer.....

Given,

The numbers = 3 and 4.

a=3,

b=4.

Formula: a+b/2

=3+4/2

=7/2

=3<7/2<4

a=3,

b=7/2.

a+b/2

=3+7/2/2
=6+7/2/2
=13/2/2
=13/2×2
=13/4

3<13/4 <7/2 <4


a=3,

b=13/4

a+b/2

= 3+13/4/2
= 12+13/4/2
=25/4/2
=25/8

3 <25/8 <13/4 <7/2 <4.

a=3,
b=25/8.

a+b/2

= 3+25/8/2
= 24+25/8/2
= 49/8/2
= 49/16

3 <49/16 <25/8 <13/4 <7/2 <4.

a=3,
b=49/16.

a+b/2

= 3+49/16/2
= 48+49/16/2
= 97/16/2
= 97/32

3 <97/32<49/16 <25/8 <13/4 <7/2 <4

a=3
b=97/32

a+b/2

=3+97/32/2
=96+97/32/2
=193/32/2
=193/64.

Therefore the six rational numbers between 3 and 4 = 7/2,13/4,25/8,49/16,97/32,193/64.

It may help you....☺☺