Question

if the number 1/2+2/3+3/4+4/5 is expressed as a decimal , will it be terminating or non-terminating ? justify your answer.

Answer 1

Step-by-step explanation:

2/1

4/3

and

5/4

have denominator of the form 2n

2m

where n,m are non negative integers.

So, they have terminating decimal.

but

3/2

do not has denominator of the form 2n

2m

where n,m are non negative integers,

so it has non terminating decimal

Therefore sum of these cfractions has non terminating decimal