Question

find 6 rational and 2 irrational number between 3 and 4 , 5/7 and 9/11​

Answer 1

Answer:

Rational number between 3 and 4

3/1 & 4/1

we have to find 6 rational number between 3 and 4 .

so 6+1=7.

we shall multiply with numerator and denominator.

3×7/1×7 &4×7/1×7

21/7 & 28/7

6 rational numbers between 3 and 4 =

22/7 <23/7 <24 /7 <25 /7 <26 /7 <27 /7

similarly :

6 rational numbers between 5/7&9/11

HERE ' we shall equal denominator

then multiple 7 with numerator and denominator.

2 irrational numbers between 3 and 4.

3.11224155263663737637371544256783827.......

3.25364748274867949379.........

2 irrational numbers between 5/7&9/11.

0.71428571428571428571.... (termination decimal number

and 0.818181.... terminating decimal number

irrational numbers = 0.71266746774785886....

0.713657577485764778......