Compare the two fractions and insert `lt"or"gt` symbol in box.
`7/(8)square8/(9)`

Answer

To compare the two fractions \( \frac{7}{8} \) and \( \frac{8}{9} \), we can follow these steps:

### Step 1: Write down the fractions
We have:
\[ \frac{7}{8} \quad \text{and} \quad \frac{8}{9} \]

### Step 2: Find a common denominator
To compare these fractions, we can find a common denominator. The denominators are 8 and 9. The least common multiple (LCM) of 8 and 9 is 72.

### Step 3: Convert the fractions to have the same denominator
Now we will convert both fractions to have the common denominator of 72.

For \( \frac{7}{8} \):
\[ \frac{7}{8} = \frac{7 \times 9}{8 \times 9} = \frac{63}{72} \]

For \( \frac{8}{9} \):
\[ \frac{8}{9} = \frac{8 \times 8}{9 \times 8} = \frac{64}{72} \]

### Step 4: Compare the numerators
Now we can compare the two fractions:
\[ \frac{63}{72} \quad \text{and} \quad \frac{64}{72} \]

Since \( 63 < 64 \), we can conclude that:
\[ \frac{7}{8} < \frac{8}{9} \]

### Step 5: Insert the appropriate symbol
Thus, we can fill in the box with the less than symbol:
\[ \frac{7}{8} \quad \text{box} \quad \frac{8}{9} \quad \Rightarrow \quad \frac{7}{8} < \frac{8}{9} \]

### Final Answer
The final answer is:
\[ \frac{7}{8} \quad < \quad \frac{8}{9} \]

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