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

Question

Responses

≈0.27
approximately equals 0.27

26
26

4.15
4.15

3.75

Answer 1

To convert \( \frac{4}{15} \) to a decimal using long division, we can divide 4 by 15.

1. Set up the division: 4 divided by 15. Since 4 is less than 15, we start with 0.
2. Add a decimal point and zeros to 4. Now, we are dividing 40 by 15.
3. 15 goes into 40 two times (because \( 15 \times 2 = 30 \)).
4. Subtract 30 from 40, which gives us a remainder of 10.
5. Bring down another 0, making it 100.
6. 15 goes into 100 six times (because \( 15 \times 6 = 90 \)).
7. Subtract 90 from 100, which gives us a remainder of 10 again.
8. Bring down another 0, making it 100 once more.
9. Repeat the process, noticing that 15 still goes into 100 six times, giving rise to the repeating decimal.

Combining our results, we can conclude that:

\[ \frac{4}{15} \approx 0.2666... \text{ (which is approximately } 0.27\text{)} \]

So, the answer is:

≈0.27 (approximately equals 0.27)