we have
[tex]\frac{1}{4} \\ \\0.4[/tex]
we know that
[tex]0.4=\frac{4}{10}[/tex]
Multiply by [tex]\frac{2}{2}[/tex]
[tex]\frac{4}{10}*\frac{2}{2}=\frac{8}{20}[/tex]
Multiply the number [tex]\frac{1}{4}[/tex] by [tex]\frac{5}{5}[/tex]
[tex]\frac{1}{4}*\frac{5}{5}=\frac{5}{20}[/tex]
I proceed to compare both numbers with the same denominator.
so
[tex]\frac{8}{20} > \frac{5}{20}[/tex]
therefore
the answer is
[tex]0.4 > \frac{1}{4}[/tex]
