We need to determine which sign ($>$, $<$, or $=$) makes the statement $\frac{13}{32} ? 71\%$ true.

1. Problem Description

We need to determine which sign ($>$, $<$, or $=$) makes the statement $\frac{13}{32} ? 71\%$ true.

2. Solution Steps

First, we need to convert the fraction $\frac{13}{32}$ to a decimal.

$\frac{13}{32} = 0.40625$

Next, we convert the decimal to a percentage by multiplying by

1

0

0. $0.40625 \times 100 = 40.625\%$

Now, we compare $40.625\%$ and $71\%$.

Since $40.625 < 71$, the correct sign is $<$.

3. Final Answer

$<$