Use long division to convert 12/30%0D%0A12%0D%0A30%0D%0A to a decimal.(1 point)%0D%0AResponses%0D%0A%0D%0A12.3%0D%0A12.3%0D%0A%0D%0A0.4%0D%0A0.4%0D%0A%0D%0A2.5%0D%0A2.5%0D%0A%0D%0A4

1 answer

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

  1. Set up the long division: we want to divide 12 by 30.

  2. Since 12 is less than 30, we know that it will go 0 times with a remainder. Therefore, we initially write 0.

  3. To continue, we can add a decimal point and a zero, making it 120.

  4. Now, divide 120 by 30.

    • \( 30 \times 4 = 120 \)
    • The answer is exactly 4 with a remainder of 0.

Therefore, \( \frac{12}{30} = 0.4 \).

So the decimal equivalent of \( \frac{12}{30} \) is: 0.4.