What is the rational number lies between 1/4 and 1/2 ?

What is the rational number lies between -3/11 and -1/13 ?

What is the ratinal number between 8/9 and 5/9 ?

1) 1/4 and 1/2

LCM between the 2 denominators 2 and 4 = 4

1/4 = 1/4 * 1/1 = 1/4

2/4 = 1/2 * 2/2 = 2/4

There is no rational no. between 1/4 and 2/4,therefore let us multiply further by 5.

1/4 = 1/4 * 5/5 = 5/20

2/4 = 2/4 * 5/5 = 10/20

So, the rational nos. between 1/4 and 1/2 are 6 /20 , 7/20 , 8/20 and 9/20.

2) - 3/11 and -1/13

LCM between the den. = 143

- 3/11 = - 3/11 * 13/13 = - 39/143

- 1/13 = - 1/13 * 11/11 = - 11/143

So, the rational nos. between - 3/11 and -1/13 are - 38/143 , -37/143 , .. , - 29/143 , -28/143 , ....... , -17/143 , ... ,and -12/143.

3) The rational nos. between 8/9 and 5/9 are 7/9 and 6/9.

Hope it helps !