Question

Find six rational number between:​

Answer 1

1/13 * 10 = 10/130

2/13 * 10 = 20/130

so the rational numbers between them can be 11/130, 12/130 , 14/130 , 15/130, 16/130 , 17/130

Answer 2

Multiply and divide each rational number with 7 as

(1/13 ) × 7/7 and ( 2/13 ) × 7/7

=> ( 1× 7 ) / ( 13 × 7 ) and ( 2 × 7 ) / (13 × 7)

=> 7 / 91 and 14 / 91

Thus six rational numbers between 1/13 and 2 / 13 are 8 / 91 , 9 / 91 , 10 / 91 , 11/91 , 12 / 91 and 13 / 91