Given data:
The first number is 4/9.
The second number is 5/10.
The first number can be written as,
[tex]\begin{gathered} \frac{4}{9}=\frac{4\times10}{9\times10} \\ =\frac{40}{90} \\ \end{gathered}[/tex]The second number can be written as,
[tex]\begin{gathered} \frac{5}{10}=\frac{5\times9}{10\times9} \\ =\frac{45}{90} \end{gathered}[/tex]Now compare both numbers as they have same denominator.
[tex]\begin{gathered} \frac{40}{90}<\frac{45}{90} \\ or \\ \frac{4}{9}<\frac{5}{10} \end{gathered}[/tex]Thus, the < symbol must be used between both n