Question

Use long division to convert 12/30
to a decimal.(1 point)
Responses

2.5
2.5

4
4

12.3
12.3

0.4

Answer 1

To convert the fraction \( \frac{12}{30} \) to a decimal using long division, we can follow these steps:

1. **Set Up the Division**: Start by dividing 12 by 30. Since 12 is less than 30, we can include a decimal point and add a zero to 12. It becomes 120 (we'll consider 120 as 12.0).

2. **Perform the Division**:
- 30 goes into 120 four times since \( 30 \times 4 = 120 \).
- Write down 4 after the decimal point.

3. **Subtract**:
- \( 120 - 120 = 0 \).

At this point, there are no more digits to bring down, and the division is complete. The result of the long division shows that \( \frac{12}{30} = 0.4 \).

Therefore, the decimal representation of \( \frac{12}{30} \) is **0.4**.