Answer :
A fraction is said to be equivalent to a terminating decimal if when converted to a decimal has a countable number of digits after the decimal point.
Examples of fractions that are terminating decimals are:
[tex]\begin{gathered} \frac{2}{5}=0.4 \\ \frac{3}{8}=0.375 \end{gathered}[/tex]On the other hand, when the digits after the decimal point keep repeating indefinitely, we say such a fraction is equivalent to a repeating decimal.
Examples are:
[tex]\begin{gathered} \frac{7}{9}=0.777777777\cdots=0.\bar{7} \\ \frac{11}{999}=0.011011011\cdots=0.\bar{011} \end{gathered}[/tex]