Find five rational and irrational number between 1/7 and 1/2
Answer in 20 sec
Answers
Answer:
I think this helps you
Step-by-step explanation:
first we have to divide 1 by 7 into 10 and 1/2 into 10 so we get 20/70&10/20 you can choose any five numbers between them
Answer:
Let, a = 1/7 , b = 1/2
Rational no. (x1)=1/2 (1/7+1/2)=1/2×9/14=9/28
(x2)= 1/2 (9/28+1/2) = 1/2×23/28= 23/56
(x3)= 1/2 (23/56+1/2)=1/2×51/56=51/112
(x4)= 1/2 (51/112+1/2)=1/2×107/112=107/224
(x5)= 1/2 (107/224+1/2)=1/2×219/224=219/448
Hence, the five rational numbers between 1/7 and 1/2 are 9/28, 23/56, 51/112, 107/224, 219/448.
1/7=0.142857
1/2=0.5
Hence, there are infinite number of irrational number between these two numbers.
0.15050050005.....
0.16060060006.....
0.17070070007.......
0.18080080008.....
0.19090090009....
0.1914144144414....
or so many irrational numbers