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Find five rational numbers between. (i) 2 / 3 and 4/ 5 (ii) −3/2 and 5/3 (iii) 1/4 and 1/2About 2 years ago

Subject : Mathematics Class : Class 8

Posted By :

Rajneesh

i) 2/3 and 4/ 5
L.C.M. of 3 and 5 is 15.

so 2/3 5/5 = 10 / 15 and 4/5 3/3 = 12/15

Again, 10/15 4/4 = 40/60 and 12/15 4/4 = 48/60 ? Five rational numbers between 2/3 and 4/5 are 41/60, 42/60, 43/60, 44/60, 45/60.

(ii) ?3/2 and 5/3 L.C.M. of 2 and 3 is 6 ? ? 3/2 3/3 = ?9/6 and 5/3 2/2 = 10/6 ? five rational numbers between ? 3/2 and 5/3 are ? 8/6 , ? 7/6 , 0, 1/6 , 2/6.

(iii) 1/4 and 1/2 L.C.M. of 4 and 2 is 4. ? 1/4 1/1 = 1/4 and 1/2 2/2 = 2/4 Again, 1/4 8/8 = 8/32 and 2/4 8/8 = 16 32

? five rational numbers between 1/4 and 1/2 are 9/32 , 10/32 , 11/32 , 12/32 , 13/32.