Question

List three rational numbers between -3/2 and -4/3

Answer 1

Answer:

Letx=-3/2 , y=-4/3 and n= 3

Let d=(y-x) /n+1

=[ (-4/3-(-3/2)]/3+1

=(-4/3+3/2)/4

=1/6*1/4

=1/24

so, three rational number between -3/2 and-4/3

(x+d),(x+2d),(x+3d)

( -3/2+1/24), ( -3/2+2/24), ( -3/2+3/24)

(-36+1/24),(-36+2/24),(-36+3/24)

(-35/24),(-34/24),(-33/24)

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Answer 2

Answer:

first rational number we take -3/2 and -4/3

{(-3) + (-4)} / {(2) + (3)}

= -7 / 5

second rational number we take -3/2 and -7/5

= {(-3) + (-7)} / {(2) +(5)}

= -10/7

Third rational number we take -7/5 and -4/3

= {(-7) + (-4)} / {(5) + (3)}

= -11/8