Question

find three rational numbers between eachof the following rational numbers. a. a.1/2and 5/6 b. 2/3 and 3/4 c. 2/7and 3/8

Answer 1

Answer:

like a other will be solved.

Answer 2

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a) 1/2 and 5/6

1/2 can be written as 3/6

therefore,

n + 1 = 3 + 1 = 4 ( n is the rational no.s required )

It becomes,

3/6 × 4/4 and 5/6 × 4/4

or 12/24 and 20/24

therefore, the rational no.s are,

13/24, 14/24, .... 18/24 and 19/24.

b) 2/3 and 3/4

2/3 and 3/4 can be written as 8/12 and 9/12

therefore,

8/12 × 4/4 and 9/12 × 4/4

or 32/48 and 36/44

therefore, the rational no.s are

33/48, 34/48 and 35/48.

c) 2/7 and 3/8

2/7 and 3/8 can be written as 16/56 and 21/56

therefore, the rational no.s are

17/56, 18/56 19/26 or 20/26.

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