Compare Fractions: Determine the Symbol Between 4/6 and 5/12

Fill in the missing sign:

$\frac{4}{6}☐\frac{5}{12}$

To solve this problem, we'll follow these steps:

• Step 1: Identify a common denominator for both fractions.
• Step 2: Adjust each fraction to have this same denominator.
• Step 3: Compare the numerators of the converted fractions.

Now, let's work through each step:

Step 1: The denominators of the given fractions are 6 and 12. The least common multiple (LCM) of 6 and 12 is 12.

Step 2: Convert $\frac{4}{6}$ to have a denominator of 12:

$\frac{4}{6} = \frac{4 \times 2}{6 \times 2} = \frac{8}{12}$

The fraction $\frac{5}{12}$ already has the denominator 12, so it remains:

$\frac{5}{12} = \frac{5}{12}$

Step 3: Compare the numerators of the fractions $\frac{8}{12}$ and $\frac{5}{12}$.

We have $8 > 5$.

Therefore, $\frac{8}{12} > \frac{5}{12}$, which implies $\frac{4}{6} > \frac{5}{12}$.

Thus, the correct comparison sign is $>$.