Question

Insert six rational numbers between (i) -1/4 and -2/5 (ii) 21/12 and 12/21

Answer 1

Q :- Insert six rational numbers between (i) -1/4 and -2/5 (ii) 21/12 and 12/21

i) Answer :- Lcm of denominators= 20

-1/4 = -1×5/4×5 =-5/20

-2/5 = -2×4/5×4 =-8/20

we need 6 rational numbers so we multiply them by 7

Then

-5/20 =-5×7/20×7 = -35/140

-8/20=-8×7/20×7 = -56/140

Three rational number between -1/4 and -2/5

is -36/140,-37/140,-38/140,-39/140,-40/140

-41/40