Question

Insert any 4 rational numbers between the following numbers (a) 6and8 (b) 5/7and6/7 (c) 0and 1 (d) 1/2and3/4

Answer 1

Step-by-step explanation:

(a). 6.4 , 6.8 , 7.2 , 7.6

(b). 26/35 , 27/35 , 28/35 , 29/35

(c). 1/2 , 1/3 , 1/4 , 1/5

(d). 11/20 , 12/20 , 13/20 , 14/20

Answer 2

Answer:

Rational numbers between 1 and 0:

(0/1)

Since we need 5 numbers, multiply both the numerator and the denominator by 6.

After multiplication, we get;

-1 and 0

Following five rational numbers:

(-5/6), (-2/3), (-1/2), (-1/3), (-1/6)

Rational numbers between -2 and -1:

The given negative integers are written as:

(-2/1) and (-1/1)

Multiplying both the numerator and denominator by 6, we get;

(-12/6) and (-6/6)

Following five rational numbers:

(-11/6), (-5/3), (-3/2), (-4/3), (-7/6)

Rational numbers between -4/5 and -2/3

Since denominators are different, take LCM of 5 and 3 and we get

(-12/15) and (-10/15)

Now multiply both numerator and denominator by 6, we get

(-72/90) and (-60/90)

Following five rational numbers:

(-71/90), (-70/90), (-69/70), (-68/70), (-67/70)

(d) Rational numbers between -1/2 and 2/3

Taking LCM of 2 and 3, we get

(-3/6) and (-4/6)

Multiplying the numerator and denominator by 6, we get

(-18/36) and (-24/36)

Following five rational numbers:

(-19/36), (-20/36), (-21/36), (-22/36), (-23/36)