<s>[INST] Doubt when something is some fraction less than some quantity. Why is $\frac{1}{4}$ less than X equals $\left(\text{X}-\frac{\text{X}}{4}\right)$ and not equals $\left(\text{X}-\frac{{1}}{4}\right)$ ?
For example: I was given the following problem to solve:
Q) One fourth less than 50% of 120 equals to ?
My solution:
50% of 120 = 60
then I did $60-\frac{1}{4}= \frac{239}{4}$
 [/INST] \begin{align*}
\dfrac{x}{4} &\lt x-\dfrac{x}{4}\Large{?}\\ \\
x-\dfrac{x}{4}
&=\dfrac{4x-x}{4}=\frac{3x}{4}\\ \\
\dfrac{x}{4} &\lt \frac{3x}{4}\\ \\
\therefore\space \dfrac{x}{4} &\lt x-\dfrac{x}{4}
\end{align*}
</s>