Use long division to convert 12/30

Question

to a decimal.(1 point)
Responses

0.4
0.4

2.5
2.5

12.3
12.3

4

Answer 1

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

1. Set up the division: We want to divide 12 by 30. Since 30 is larger than 12, we know the result will be less than 1. So we can add a decimal point and a zero to 12, making it 12.0.

2. Start the long division:

   • 30 goes into 120 (after adding the decimal) four times because \( 30 \times 4 = 120 \).
   • Place 4 above the decimal point.
   • Subtract: \( 120 - 120 = 0 \).

3. Result: Since there are no remaining numbers and we have no remainder, we conclude that \( \frac{12}{30} = 0.4 \).

Thus, the decimal form of \( \frac{12}{30} \) is \( 0.4 \).

The correct response is 0.4.