Verified Answer :

1/4 is 25%
and 0.4 is 40%
Therefore, 0.4 is greater.

we have

\(\frac{1}{4} \\ \\0.4\)

we know that

\(0.4=\frac{4}{10}\)

Multiply by \(\frac{2}{2}\)

\(\frac{4}{10}*\frac{2}{2}=\frac{8}{20}\)

Multiply the number \(\frac{1}{4}\) by \(\frac{5}{5}\)

\(\frac{1}{4}*\frac{5}{5}=\frac{5}{20}\)

I proceed to compare both numbers with the same denominator.

so

\(\frac{8}{20} > \frac{5}{20}\)

therefore

the answer is

\(0.4 > \frac{1}{4}\)