Rewrite the following expressions: 27 1/2 × 27 1/4

To rewrite the expression \(27 \frac{1}{2} \times 27 \frac{1}{4}\), we first convert the mixed numbers into improper fractions.

1. Convert \(27 \frac{1}{2}\):
\[
27 \frac{1}{2} = 27 + \frac{1}{2} = \frac{54}{2} + \frac{1}{2} = \frac{55}{2}
\]

2. Convert \(27 \frac{1}{4}\):
\[
27 \frac{1}{4} = 27 + \frac{1}{4} = \frac{108}{4} + \frac{1}{4} = \frac{109}{4}
\]

Now, we can rewrite the original expression using the improper fractions:

\[
27 \frac{1}{2} \times 27 \frac{1}{4} = \frac{55}{2} \times \frac{109}{4}
\]

Thus, the rewritten expression is:

\[
\frac{55}{2} \times \frac{109}{4}
\]