Use long division to convert 12/30

Question

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.