Compare Fractions: Find the Missing Sign Between 2/3 and 6/4

Fill in the missing sign:

$\frac{2}{3}☐\frac{6}{4}$

To solve this problem, we will use cross-multiplication to compare the two fractions $\frac{2}{3}$ and $\frac{6}{4}$.

• Step 1: Calculate the cross products. Multiply the numerator of the first fraction by the denominator of the second fraction, and the denominator of the first fraction by the numerator of the second fraction.
• Step 2: Compare the two products to determine which fraction is larger.

Now, let's work through the steps:

Step 1: Cross-multiply the two fractions:
$\text{First Product} = 2 \times 4 = 8$
$\text{Second Product} = 3 \times 6 = 18$

Step 2: Compare the resulting products:
Since $8 < 18$, it follows that $\frac{2}{3} < \frac{6}{4}$.

Therefore, the solution to the problem is $<$.