Step: 1
When a digit or sequence of digits keep repeating, it is a repeating decimal.
Step: 2
For 45, when 4 is divided by 5 the quotient is 0.8.
Step: 3
For 38, when 3 is divided by 8 the quotient is 0.375.
Step: 4
For 310, when 3 is divided by 10 the quotient is 0.3.
Step: 5
For 112, when 1 is divided by 12, the quotient is 0.08333. . . and the digit 3 is repeating.
Step: 6
Therefore, 112 is a repeating decimal.