The problem asks us to compare the fraction $\frac{13}{80}$ to the percentage $41.03\%$ and determine which sign ($>$, $<$, or $=$) makes the statement true.

1. Problem Description

The problem asks us to compare the fraction $\frac{13}{80}$ to the percentage $41.03\%$ and determine which sign ($>$, $<$, or $=$) makes the statement true.

2. Solution Steps

First, we need to convert the fraction $\frac{13}{80}$ to a decimal.

$\frac{13}{80} = 0.1625$

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

1

0

0. $0.1625 \times 100 = 16.25\%$

Now we compare $16.25\%$ to $41.03\%$.

Since $16.25 < 41.03$, we have $16.25\% < 41.03\%$.

Therefore, $\frac{13}{80} < 41.03\%$.

3. Final Answer

$<$