The problem asks us to determine which sign ($>, <, or =$) makes the statement $\frac{1}{4} ? 46\%$ true.

1. Problem Description

The problem asks us to determine which sign ($>, <, or =$) makes the statement $\frac{1}{4} ? 46\%$ true.

2. Solution Steps

First, we need to convert either the fraction $\frac{1}{4}$ to a percentage, or the percentage $46\%$ to a fraction. It's easier to convert the fraction to a percentage.

To convert a fraction to a percentage, we first convert the fraction to a decimal.

$\frac{1}{4} = 0.25$

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

1

0

0. $0.25 \times 100 = 25\%$

Now we can compare $25\%$ to $46\%$.

Since $25\%$ is less than $46\%$, we have $25\% < 46\%$.

Therefore, $\frac{1}{4} < 46\%$.

3. Final Answer

The correct sign is $<$.