College

Fill in the blank to complete the equation:

\[
\begin{aligned}
\frac{9}{10} - \frac{1}{4} & = \frac{18}{20} - \frac{\square}{20} \\
& = \frac{13}{20}
\end{aligned}
\]

Answer :

We start with the expression

$$
\frac{9}{10} - \frac{1}{4} = \frac{18}{20} - \frac{\square}{20} = \frac{13}{20}.
$$

Since the denominators are the same, we can equate the numerators. We have

$$
18 - \square = 13.
$$

Subtracting 13 from 18 gives

$$
\square = 18 - 13 = 5.
$$

Thus, the missing numerator is $5$, and the expression simplifies to

$$
\frac{9}{10} - \frac{1}{4} = \frac{18}{20} - \frac{5}{20} = \frac{13}{20}.
$$