Compare Fractions: Determine the Symbol Between 3/4 and 1/9

To determine the correct inequality sign to compare $\frac{3}{4}$ and $\frac{1}{9}$, we'll use the technique of cross-multiplication. This method involves multiplying the numerator of each fraction by the denominator of the other fraction. By calculating and comparing these products, we can determine the relative size of the fractions.

Let's perform the cross-multiplication:

• Multiply the numerator of the first fraction by the denominator of the second fraction:

$\ 3 \times 9 = 27$

• Multiply the denominator of the first fraction by the numerator of the second fraction:

$\ 4 \times 1 = 4$

Now we compare these two results. Since $27$ is greater than $4$, we conclude that:

$\ \frac{3}{4} > \frac{1}{9}$

Therefore, the correct inequality sign to fill in the blank is $>$.