Question

Without doing division, check the following rationals are terminating or non-
terminating recurring:

(i) 11/39 (ii) 12 / 420 (iii) 21/120

Answer 1

Answer:

HOPE THIS BRING A SMILE IN YOUR FACE

Step-by-step explanation:

i)11/39

Denominator:

39=3×13

It is not of the form 2^n×5^m

Therefore 11/39 is non-terminating.

ii)12/420

=2/70

=1/35

Denominator:

35=5×7

It is not if the form 2^n×5^m

Therefore it is non-terminating.

iii)21/120

=7/40

Denominator:

40=2×2×2×5

40=2^3×5

It is of the form 2^n×5^m

Therefore 21/240 is terminating.