Question

List the four rational numbers between -1 and -3/2

Answer 1

Answer:

The four rational numbers between -1 and 3/2 are -1/2 , 0/2 , 1/2 , 2/2.

Step-by-step explanation:

-1/1    and     3/2

L.C.M of -1/1 and 3/2 = 2

-1/1*2/2       3/2*1/1

-2/2                3/2

So, the four rational numbers between -1 and 3/2 are -1/2, 0/2, 1/2, 2/2.

Answer 2

Given: The numbers are$-1 \ and -3/2$.

We have to find the four rational numbers between$-1 \ and -3/2$.

We are solving in the following way:

We have,

The numbers are$-1 \ and -3/2$.

As we know that the rational number between a and b is given by:

$\frac{a+b}{2}$

Hence, the rational number between$-1 \ and -3/2$ is:

$=>(\frac{-1+(\frac{-3}{2}) }{2} )\\\\=>\frac{-5}{4}$

Now, the Rational number between -1 and$-5/4$ is:

$=>\frac{-1+\frac{-5}{4} }{2} \\\\=>-\frac{9}{8}$

Now, the Rational number between -1 and$-9/8$ is:

$=>\frac{-1+-\frac{9}{8} }{2} \\\\=>\frac{-17}{16}$

Now, the Rational number between-1 and$-17/16$ is:

$=>\frac{-1+\frac{-17}{16} }{2} \\\\=>\frac{-33}{32}$

Hence, the four rational numbers between$-1 \ and -3/2$ will be$-5/4,-9/8,-17/16,-33/32$.