Question

find three rational numbers between -7by2 and -2​

Answer 1

Answer:

-15/6,-16/6,-17/6

Step-by-step explanation:

To find three rational numbers between -7/2 and -2

Step 1 = multiply both the numerator and the denominator of the numbers with 3(as we have to find 3 rational numbers)

= -7/2 X 3/3 and -2 X 3/3

= -21/6 and -6/3

Step 2 = Find the L.C.M of the denominators(6 and 3)

           

            L.C.M is 6

so we will multiply both the numerator and the denominator of the numbers= -21/6 with 1/1(to make the denominators equal)

and -6/3 with 2/2(to make the denominator equal)

= -21/6 X 1/1 and -6/3 X 2/2

= -21/6 and -12/6

So the three rational numbers between the -7/2 and -2 are as follows-

1. -15/6
2. -16/6
3. -17/6