Question

Last five rational numbers between-2 and 1
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Answer 1

and

Let us write and as rational numbers with denominator

and

Therefore, five rational numbers between and would be

Answer 2

Step-by-step explanation:

Take any five…

Method:

The rational number between a and b is (a + b)/2

Hence rational number between 1 and 2 is (1+2)/2 = 3/2 = 1.5

Rational number between 1 and 3/2 is [1+(3/2)]/2 = 5/4 = 1.25

Rational number between 1 and 5/4 is [1+(5/4)]/2 = 9/8 = 1.125

Rational number between 3/2 and 2 is [(3/2) + 2]/2 = 7/4= 1.75

Rational number between 7/4 and 2 is [(7/4) + 2]/2 = 15/8 = 1.8

Therefore five rational numbers between 1 and 2 are 9/8, 5/4, 3/2, 7/4 and 15/8

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