Simplify :
`(1.3xx2.4)/(0.39)`

Answer

To simplify the expression \( \frac{1.3 \times 2.4}{0.39} \), we will follow these steps:

### Step 1: Multiply the Numerator
First, we need to multiply \( 1.3 \) and \( 2.4 \).

\[ 1.3 \times 2.4 \]

To make the multiplication easier, we can ignore the decimal points temporarily and multiply \( 13 \) by \( 24 \).

\[ 13 \times 24 \]

Calculating this:

- \( 4 \times 3 = 12 \) (write down 2, carry over 1)
- \( 4 \times 1 = 4 \) plus the carry over 1 gives \( 5 \)
- \( 2 \times 3 = 6 \)
- \( 2 \times 1 = 2 \)

Now, adding these results together:

\[ 312 \]

Now we need to place the decimal point back. Since \( 1.3 \) has 1 decimal place and \( 2.4 \) has 1 decimal place, we have a total of 2 decimal places.

Thus, we place the decimal point in \( 312 \):

\[ 1.3 \times 2.4 = 3.12 \]

### Step 2: Divide by \( 0.39 \)
Now we need to divide \( 3.12 \) by \( 0.39 \).

\[ \frac{3.12}{0.39} \]

To simplify this division, we can eliminate the decimal by multiplying both the numerator and the denominator by \( 100 \):

\[ \frac{3.12 \times 100}{0.39 \times 100} = \frac{312}{39} \]

### Step 3: Simplify \( \frac{312}{39} \)
Now we will simplify \( \frac{312}{39} \).

To do this, we can divide both the numerator and the denominator by their greatest common divisor (GCD).

First, we can check if \( 39 \) divides \( 312 \):

Calculating \( 312 \div 39 \):

- \( 39 \) goes into \( 312 \) a total of \( 8 \) times (since \( 39 \times 8 = 312 \)).

So, we have:

\[ \frac{312}{39} = 8 \]

### Final Answer
Thus, the simplified result of \( \frac{1.3 \times 2.4}{0.39} \) is:

\[ \boxed{8} \]