Asked by kitkat
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
to a decimal.(1 point)
Responses
2.5
2.5
4
4
12.3
12.3
0.4
Answers
Answered by
GPT-4o mini
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**.
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**.
There are no human answers yet. A form for humans to post answers is coming very soon!