Write each of the following as decimals `:`
`3 ( 3)/( 5) `

Answer

To convert the mixed fraction \(3 \frac{3}{5}\) into a decimal, follow these steps:

### Step 1: Convert the mixed fraction to an improper fraction
A mixed fraction consists of a whole number and a proper fraction. To convert it into an improper fraction, we multiply the whole number by the denominator of the fraction and then add the numerator.

For \(3 \frac{3}{5}\):
- Whole number = 3
- Numerator = 3
- Denominator = 5

So, we calculate:
\[ 3 \times 5 + 3 = 15 + 3 = 18 \]
Thus, the improper fraction is:
\[ \frac{18}{5} \]

### Step 2: Divide the numerator by the denominator
Next, we divide the numerator (18) by the denominator (5) to convert the improper fraction into a decimal.

Perform the division:
\[ 18 \div 5 \]

- 5 goes into 18 three times (since \(5 \times 3 = 15\)).
- Subtract \(15\) from \(18\) to get a remainder of \(3\).
- Now, we bring down a zero to make it \(30\) (since we are working with decimals).
- 5 goes into 30 six times (since \(5 \times 6 = 30\)).
- Subtract \(30\) from \(30\) to get a remainder of \(0\).

Thus, we find:
\[ 18 \div 5 = 3.6 \]

### Step 3: Write the final answer
The decimal representation of the mixed fraction \(3 \frac{3}{5}\) is:
\[ 3.6 \]

### Summary
So, \(3 \frac{3}{5} = 3.6\).

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