Question

without actually dividing find which of the following are teminating decimals in 13 by 20 and 41 by 42

Answer 1

hey! here is your answer!

13/20=13/2*2*5
this is terminating as if denominator of a fraction comes in a form of 2^m*5^n then it is terminating.
41/42=41/2*3*7
this is non terminating as the denominator did not come in the form of 2^m*5^n

hope it helps!

Answer 2

1. 13/20
taking denominator : 20 or 2x2x5
here factors of 20 are in the form of 2 and 5 only. there fore it is a terminating decimal