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

Question

Responses

≈0.27
approximately equals 0.27

4.15
4.15

3.75
3.75

26

Answer 1

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

1. Divide 4 by 15. Since 4 is less than 15, you can write 0. and then bring down a decimal point, which gives you 40 (you actually treat it as 4.0).

2. Now see how many times 15 goes into 40. It goes 2 times because \( 2 \times 15 = 30 \).

3. Subtract 30 from 40, which gives you 10. Bring down another 0 making it 100.

4. Now, see how many times 15 goes into 100. It goes 6 times because \( 6 \times 15 = 90 \).

5. Subtract 90 from 100, which gives you 10 again.

6. Bring down another 0, again making it 100.

7. Repeat the process: 15 goes into 100 six times again.

As a result, the decimal repeats every 6 (or \( \frac{2}{3} \)). Thus, \( \frac{4}{15} = 0.2666... \).

Therefore, \( \frac{4}{15} \) is approximately equal to 0.27.

The correct response is:

≈0.27 (approximately equals 0.27)