We have the following expression given:
[tex]3\frac{2}{5}-2\frac{4}{5}[/tex]First we can convert the fractions and we got:
[tex]\frac{(3\cdot5)+2}{5}-\frac{(2\cdot5)+4}{5}=\frac{17}{5}-\frac{14}{5}[/tex]And finally we can do the operation and we got:
[tex]\frac{17}{5}-\frac{14}{5}=\frac{3}{5}[/tex]If we compare the result from the value given:
[tex]1\frac{2}{5}=\frac{(1\cdot5)+2}{5}=\frac{7}{5}[/tex]We can see that we have a different result 3/5 is not 7/5 so then we can conclude that the statement is False.