Question

find three rational number between 0.1a nd 0.11​

Answer 1

a/b=0.1=1/10; a/b=0.11=11/100.

11/100-1/10=11/100-10/100=1/100. Divide this by 6: 1/600.

1st fraction: 1/10+1/600=60/600+1/600=61/600.

2nd fraction: 61/600+1/600=62/600=31/300.

3rd fraction: 63/600=21/200.

4th fraction: 64/600=8/75.

5th fraction: 65/600=13/120 (=66/600-1/600 or 11/100-1/600).

5 rational numbers are: 61/600, 31/300, 21/200, 8/75, 13/120.

Think of the two numbers 0.1 and 0.11 as end posts of a fence. We need to place 5 posts between the two end posts and space them equally. That means we have 7 posts altogether and there are 6 spaces between them. So we divide the distance between the posts by 6 then work out the position of each post.

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Answer 2

Step-by-step explanation:

0.1 and 0.11

1/10 and 11/100

1 × 20 = 2/200

10. 20

11 × 2= 22

100 2 200

22/200 and 2/200

21/200 and 20/200 and 19/200 is the answer