Question

Rewrite the following expressions: 27 1/2⋅27 1/4 .(1 point)

Answer 1

To rewrite the expression \( 27 \frac{1}{2} \cdot 27 \frac{1}{4} \), 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 multiply the two improper fractions:
\[
\frac{55}{2} \cdot \frac{109}{4} = \frac{55 \cdot 109}{2 \cdot 4} = \frac{5995}{8}
\]

So, the expression \( 27 \frac{1}{2} \cdot 27 \frac{1}{4} \) can be rewritten as:
\[
\frac{5995}{8}
\]