Write each of the following as decimals `:`
`( 12)/( 5)`

Answer

To convert the fraction \( \frac{12}{5} \) into a decimal, we can follow these steps:

### Step 1: Divide the numerator by the denominator
We start by dividing 12 by 5.

\[ 12 \div 5 = 2 \quad \text{(since 5 goes into 12 two times)} \]

### Step 2: Calculate the remainder
Next, we calculate the remainder of this division.

\[ 12 - (5 \times 2) = 12 - 10 = 2 \]

### Step 3: Write the result as a mixed number
Now we can express our result as a mixed number. The whole number part is 2, and the remainder is 2, so we can write:

\[ \frac{12}{5} = 2 \frac{2}{5} \]

### Step 4: Convert the fractional part to decimal
To convert the fractional part \( \frac{2}{5} \) into a decimal, we can divide 2 by 5.

\[ 2 \div 5 = 0.4 \]

### Step 5: Combine the whole number and decimal
Now we can combine the whole number part and the decimal part:

\[ 2 + 0.4 = 2.4 \]

### Final Answer
Thus, the decimal representation of \( \frac{12}{5} \) is:

\[ \boxed{2.4} \]

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