Question

Find three rational numbers between
1/4 and 1/5​

Answer 1

Step-by-step explanation:

The three rational numbers between 1/5 and 1/4 are : 17/80 , 18/80 and 19/80 .

Answer 2

Answer:

Find three rational numbers between 1/4 and 1/5

Solution:

Given, 1/4 and 1/5

We have to find three rational numbers between 1/4 and 1/5.

The rational numbers between a and b is given by (a+b)/2

First rational number:

Let a = 1/4 and b = 1/5

a + b = 1/4 + 1/5

= (5 + 4)/20

= 9/20

(a + b)/2 = (9/20)/2

= 9/40.

Therefore, the first rational number is 9/40.

Second rational number:

Let a = 1/4 and b = 9/40.

a + b = 1/4 + 9/40

= (10 + 9)/40

= 19/40

= 19/40

(a + b)/2 = (19/40)/2

= 19/80.

Therefore, the second rational number is 19/80.

Third rational number:

Let a = 1/4 and b = 19/80

a + b = 1/4 + 19/80

= (20 + 19)/80

= 39/80

(a + b)/2 = (39/80)/2

= 39/160

Therefore, the third rational number is 39/160.

Step-by-step explanation:

Hope it helps you ❤️