Use long division to convert 12/30

Question

to a decimal.(1 point)
Responses

4
4

0.4
0.4

12.3
12.3

2.5

Answer 1

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

1. First, we'll simplify \( \frac{12}{30} \) to \( \frac{2}{5} \) by dividing both the numerator and denominator by 6.

2. Next, we perform long division of \( 2 \div 5 \).

• Since 2 is less than 5, we start with \( 0 \) and add a decimal point to give 2.0.
• Now, consider \( 20 \div 5 \).

3. \( 5 \) goes into \( 20 \) exactly \( 4 \) times, as \( 5 \times 4 = 20 \).

4. So, we place \( 4 \) in the decimal place.

Combining this, we get the decimal representation:

\[ \frac{12}{30} = 0.4 \]

Therefore, the answer is:

0.4