Fill in the boxes by the symbol `lt or gt` to make the given statements true :
`13/27 square 15/48`

Answer

To compare the fractions \( \frac{13}{27} \) and \( \frac{15}{48} \) using the cross multiplication method, follow these steps:

### Step 1: Set up the fractions
We have two fractions:
- Fraction 1: \( \frac{13}{27} \)
- Fraction 2: \( \frac{15}{48} \)

### Step 2: Cross multiply
To compare the two fractions, we will cross multiply:
- Multiply the numerator of the first fraction by the denominator of the second fraction:
\[ 13 \times 48 \]
- Multiply the numerator of the second fraction by the denominator of the first fraction:
\[ 15 \times 27 \]

### Step 3: Calculate \( 13 \times 48 \)
Now, we will calculate \( 13 \times 48 \):
\[ 13 \times 48 = 624 \]

### Step 4: Calculate \( 15 \times 27 \)
Next, we will calculate \( 15 \times 27 \):
\[ 15 \times 27 = 405 \]

### Step 5: Compare the results
Now we compare the two results:
- \( 624 \) (from \( 13 \times 48 \))
- \( 405 \) (from \( 15 \times 27 \))

Since \( 624 > 405 \), we can conclude that:
\[ \frac{13}{27} > \frac{15}{48} \]

### Final Answer
Thus, we fill in the box with the symbol `gt` (greater than):
\[ \frac{13}{27} \, gt \, \frac{15}{48} \]

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