[tex]\rightarrow \frac{5}{6}+9.25[/tex]
⇒The denominator of fraction is 6,that is not in the form of [tex]2^a,\text{or},5^b,\text{or},2^a \times 5^b[/tex]
⇒If denominator contains either of these, that is [tex]2^a,\text{or},5^b,\text{or},2^a \times 5^b[/tex], the decimal representation of the fraction will be Terminating.
⇒So, the fraction [tex]\rightarrow \frac{5}{6}[/tex], when represented in terms of decimal ,it will be non terminating , repeating Decimal.
Other decimal, 9.25 is terminating decimal.
⇒Sum of "Non terminating repeating Decimal" and "Terminating decimal" will yield "Non terminating repeating Decimal".
