Use long division to convert 4/15 to a decimal.(1 point)

Question

Responses

26
26

≈0.27
approximately equals 0.27

4.15
4.15

3.75
3.75

Answer 1

To convert \( \frac{4}{15} \) to a decimal using long division, we can follow these steps:

1. Since 4 is less than 15, we can write it as \( 4.000 \) to add decimal points.
2. 15 goes into 40 two times (2 × 15 = 30).
3. Subtract 30 from 40, which gives us 10.
4. Bring down the next 0, making it 100.
5. 15 goes into 100 six times (6 × 15 = 90).
6. Subtract 90 from 100, which gives us 10 again.
7. Bring down another 0, making it 100 again.
8. Repeat the step: 15 goes into 100 six times (6 × 15 = 90).
9. Subtract 90 from 100 to get 10 again.

Here, we see that the process will keep repeating with a quotient of 0.26666..., where the 6 repeats.

Thus, \( \frac{4}{15} \) as a decimal is approximately \( 0.27 \).

The correct response is: approximately equals 0.27.