Question

which of the following rational numbers have non terminating and repeating decimal expansion
a) 15/1600
b) 27/6
c) 23/6
d) 35/60​

Answer 1

Answer:

a) 15/1600 = 0.009375 (this number is terminating)

b) 27/6 = 4.5 (this number is terminating)

c) 23/6 = 3.8333333......... (this number is repeating)

d) 35/60 = 0.58333333333........ (this number is repeating)

hence, c and d are repeating numbers!