Question

find three rational number between 1/4 and 3/5 using the mean method

Answer 1

1/4 x 5/5= 5/20

3/5 x 4/4= 12/20

the numbers between 5/20 and 12/20 are :

11/20

10/20

9/20

8/20

7/20

6/20

Answer 2

Answer:

given rational numbers, a=1/4

                                        b=3/5

Rational Numbers:

Numbers that can be represented in the form of p/q is called rational numbers , provided q≠0.

Mean Method to find the rational number:

Let a and b be two rational numbers then the rational number in between a and b is given by (a+b)/2.

First rational number between a and b:

                    c={(1/4)+(3/5)}/2

                      =17/40

Second Rational number between 1/4 and 17/10:

                     d=({17/40)+(1/4)}/2

                       =27/80

Third rational number between 17/10 and 3/5:

                      e={(17/80)+(3/5)}/2

                        =65/160

Hence the three rational numbers between 1/4 and 3/5 are

• 17/40
• 27/80
• 65/160