Question

find three rational number between a)1/3and 5/4 B) 3/7and 2/7 c) -3/5 and -1/3​

Answer 1

Answer:

a) 1/3 and 5/4= first we have to take the LCM of 3,4 which is12.

then we have to multiply the number to get same denominator on both side.

like this-1/3(4/4) and with the second one also.

5/4 (4/4)

we get- 4/12 and 15/12

now we can write the rational numbers that is

Answer- 5/12, 6/12, 7/12, 8/12 and so on.

B) 3/7 and 2/7 -

here the denominator is same which is7. Then for getting answer easier we have to multiply the number by 10.

that is- 3/7 (10/10) and 2/7 (10/10)

we get 30/70 and 20/70

answer- 31/70, 32/70, 33/70, 34/70 and so on.

C) -3/5 and -1/3 -

now the denominator is not same then we have to take the LCM.

the LCM of 5 and 3 is15

now we have to make the denominator same of both equations.

that is= -3/5 (3/3)= -9/15 and -1/3 (5/5)= -5/15

Answer= -8/15, -7/15, -6/15.

hope this helps you...