Convert the following rational numbers into decimals:
`(3)/(4)`

Answer

To convert the rational number \( \frac{3}{4} \) into a decimal, we will perform the division of 3 by 4 step by step.

### Step-by-Step Solution:

1. **Set up the division**: We need to divide 3 by 4. Since 3 is smaller than 4, we will express it as a decimal. We can write it as \( 3.000 \) to help with the division.

2. **Perform the division**:
- Divide 4 into 3. Since 4 cannot go into 3, we place a decimal point in the quotient and add a zero, making it 30.
- Now, divide 4 into 30. The largest multiple of 4 that fits into 30 is 28 (which is \( 4 \times 7 \)).
- Write down 7 in the quotient, and subtract 28 from 30. This gives us \( 30 - 28 = 2 \).

3. **Bring down the next digit**:
- We now have 2. Since we added a decimal point, we can bring down another 0, making it 20.
- Now, divide 4 into 20. The largest multiple of 4 that fits into 20 is 20 (which is \( 4 \times 5 \)).
- Write down 5 in the quotient, and subtract 20 from 20. This gives us \( 20 - 20 = 0 \).

4. **Final result**:
- Since there are no more digits to bring down and we have reached a remainder of 0, we conclude that \( \frac{3}{4} = 0.75 \).

### Final Answer:
Thus, \( \frac{3}{4} \) as a decimal is \( 0.75 \).

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