ANSWER
[tex]\frac{4}{11}<\frac{2}{5}[/tex]
EXPLANATION
To rewrite the fractions so that they have a common denominator, multiply the first fraction by a fraction made of the denominator of the second fraction and vice versa.
For the first fraction:
[tex]\begin{gathered} \frac{4}{11}=\frac{4*5}{11*5} \\ \\ \frac{20}{55} \end{gathered}[/tex]
and the second fraction:
[tex]\begin{gathered} \frac{2}{5}=\frac{2*11}{5*11} \\ \\ \frac{22}{55} \end{gathered}[/tex]
To order the two fractions, check their numerators. Since the numerator of the second fraction is greater than the first:
[tex]\begin{gathered} \frac{20}{55}<\frac{22}{55} \\ \\ \frac{4}{11}<\frac{2}{5} \end{gathered}[/tex]
That is the answer.
