Convert the fractions into decimal numbers:
`(3)/(8)`

Answer

To convert the fraction \( \frac{3}{8} \) into a decimal, we can follow these steps:

### Step 1: Set Up the Division
We will divide 3 by 8. Since 3 is less than 8, we cannot divide it directly. So, we will write it as \( 3.000 \) (adding decimal and zeros for easier division).

**Hint:** When the numerator is smaller than the denominator, add a decimal point and zeros to the numerator.

### Step 2: Perform the Division
Now, we divide 8 into 30 (the first two digits of 3.000).
- 8 goes into 30 three times (since \( 8 \times 3 = 24 \)).
- Write 3 above the line and subtract 24 from 30, which gives us a remainder of 6.

**Hint:** Always multiply the divisor by the quotient to find the remainder.

### Step 3: Bring Down the Next Digit
Next, we bring down the next 0, making it 60.
- Now, divide 8 into 60.
- 8 goes into 60 seven times (since \( 8 \times 7 = 56 \)).
- Write 7 above the line and subtract 56 from 60, which gives us a remainder of 4.

**Hint:** Bringing down a zero allows you to continue dividing when you have a remainder.

### Step 4: Repeat the Process
Now, bring down another 0, making it 40.
- Divide 8 into 40.
- 8 goes into 40 five times (since \( 8 \times 5 = 40 \)).
- Write 5 above the line and subtract 40 from 40, which gives us a remainder of 0.

**Hint:** If the remainder is 0, you can stop the division process.

### Step 5: Write the Final Answer
Combining all the digits we wrote above the line, we get \( 0.375 \).

**Final Answer:**
The decimal representation of \( \frac{3}{8} \) is \( 0.375 \).

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