Express the fractions as decimal numbers :
`(3)/(5)`

Answer

To express the fraction \( \frac{3}{5} \) as a decimal number, we can use two different methods. Let's go through each method step by step.

### Method 1: Long Division

1. **Set Up the Division**: We need to divide 3 by 5. Since 5 cannot divide into 3, we will add a decimal point and a zero to 3, making it 30.
- **Hint**: When the numerator is smaller than the denominator, add a decimal point and a zero to the numerator.

2. **Perform the Division**: Now, divide 30 by 5.
- 5 goes into 30 exactly 6 times (because \( 5 \times 6 = 30 \)).
- **Hint**: Remember to multiply the divisor by the quotient to check your work.

3. **Write the Result**: Since we divided 30 by 5 and got 6, we write the result as 0.6.
- **Hint**: The decimal point comes from the initial decimal we added.

### Method 2: Equivalent Fraction

1. **Convert the Denominator**: We can convert the fraction \( \frac{3}{5} \) to have a denominator of 10. To do this, we multiply both the numerator and the denominator by 2.
- \( \frac{3 \times 2}{5 \times 2} = \frac{6}{10} \)
- **Hint**: To make the denominator 10, you can multiply both the numerator and denominator by the same number.

2. **Write as a Decimal**: Now that we have \( \frac{6}{10} \), we can express this as a decimal. The number 6 in the tenths place is 0.6.
- **Hint**: When the denominator is 10, the numerator tells you how many tenths you have.

### Final Answer
Both methods give us the same result:
\[ \frac{3}{5} = 0.6 \]