Insert `ltorgt` in the box.
`28/(29)square19/(22)`

Answer

To solve the problem of comparing the fractions \( \frac{28}{29} \) and \( \frac{19}{22} \), we will follow these steps:

### Step 1: Identify the fractions
We have two fractions to compare:
- \( \frac{28}{29} \)
- \( \frac{19}{22} \)

### Step 2: Find the Least Common Multiple (LCM) of the denominators
The denominators are 29 and 22. Since 29 is a prime number, the LCM can be calculated as:
\[ \text{LCM} = 29 \times 22 \]

### Step 3: Convert both fractions to have the same denominator
To compare the fractions, we will convert them to have the same denominator, which is the LCM we found in the previous step.

1. For \( \frac{28}{29} \):
\[ \frac{28}{29} = \frac{28 \times 22}{29 \times 22} = \frac{616}{638} \]

2. For \( \frac{19}{22} \):
\[ \frac{19}{22} = \frac{19 \times 29}{22 \times 29} = \frac{551}{638} \]

### Step 4: Compare the numerators
Now we can compare the numerators of the two fractions:
- The numerator of \( \frac{28}{29} \) is 616.
- The numerator of \( \frac{19}{22} \) is 551.

Since \( 616 > 551 \), we can conclude that:
\[ \frac{28}{29} > \frac{19}{22} \]

### Step 5: Write the final answer
Thus, we can insert the greater than sign in the box:
\[ \frac{28}{29} > \frac{19}{22} \]