Question

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Answer 1

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The lowest common factor between 2/3 and 3/2

is 6 (take the lcm of the denominator)

so,

2×2/ 3×2 = 4/6

and

3×3/2×3 = 9/6

The rational number between them are:-

5/6 , 6/6 , 7/6 and 8/6

[with this process you can solve above questions]

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Answer 2

Answer:

1. Given: rational no.s- 2/3, 3/2

Solution:2/3 and 3/2

take LCM

=LCM of 3 and 2 is 6(3*2 =6 as they are prime no.s)

so multiply as the denominator becomes 6

=2*2/3*2 and 3*3/2*3

=4/6 and 9/6

Therefore the 3 rational no.s between 3/2 and 2/3 are

5/6 ,6/6,7/6

2.Given:Rational no.s-2/5 and 5/3

Solution:

Take LCM

=LCM of those no.s is 15( 5*3=15 as the primes are the prime no.s)

so multiply as the denominator becomes 15

=2*3/5*3 and 5*5/3*5

=6/15 and 25/6

Therefore the 5 rational no.s between 2/5 and 5/3 are

7/15, 8/15, 19/5, 20/15, 11/15

3.Given:-3 and -1/2

Solution:-3/1 and -1/2

Take LCM

=LCM of those no.s is 2 (as 2 is a multiple of 1)

so multiply as the denominator becomes 2

=-3*2/1*2 and -1/2

=-6/2 and -1/2

Therefore the 1 rational no. between is

-4/2

4.Given:- 1/1 and 2/1

Solution:-1/1 and 2/1

mutiply the rational no. with 10 or 100 ,so tht if you simplify u will be able to get the exact fraction form given in the question

=1*100/1*100 and 2*100/1*100

=100/100 and 200/100

Therefore the 10 rational no. between is

101/100, 112/100, 125/100, 127/100, 135/100, 142/100, 120/100, 176/100, 180/100, 199/100

Hope its helpfull!!!!!

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