find 5 irrational number between 3/6 and 4/6
Answers
Answer:
Let x = 3/4 ; y = 5/6
y > x ; n = 5
d = y - x/n + 1
= (5/6 - 3/4)/5 + 1
= (10 - 9/12)/6
= (1/12)/6
= 1/12 ÷ 6
= 1/12 × 1/6
= 1/72
1st rational number = x + d
= 3/4 + 1/72
= 54 + 1/72
= 55/72
2nd rational number = x + 2d
= 3/4 + 2 × 1/72
= 3/4 + 2/72
= 54 + 2/72
= 56/72
3rd rational number = x + 3d
= 3/4 + 3 × 1/72
= 3/4 + 3/72
= 54 + 3/72
= 57/72
4th rational number = x + 4d
= 3/4 + 4 × 1/72
= 3/4 + 4/72
= 54 + 4/72
= 58/72
5th rational number = x + 5d
= 3/4 + 5 × 1/72
= 3/4 + 5/72
= 54 + 5/72
= 59/72
Step-by-step explanation:
Answer:
Step-by-step explanation:
3/6=1/2=0.5
and 4/6=2/3=0.66666666....
Thus the irrational numbers between 3/6 and 4/6 can be:
0.5005000500000-------------
0.520520052000-------------
0.5303003000-------------
0.6101001000-------------
0.6303003000-------------