Question

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

26
26

4.15
4.15

≈0.27
approximately equals 0.27

3.75

Answer 1

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

1. **Set up the division**: 4.000000 (since 4 is less than 15, we add decimal points and zeros for the division).

2. **Divide**:

- 15 goes into 40 two times (since 15 x 2 = 30).
- Write 2 above the line (the quotient) and subtract 30 from 40, which leaves 10.

3. **Bring down the next digit (0)**: Now we have 100.

- 15 goes into 100 six times (since 15 x 6 = 90).
- Write 6 above the line next to the 2 and subtract 90 from 100, which leaves 10.

4. **Bring down the next digit (0)** again: We still have 100.

- Again, 15 goes into 100 six times, so we repeat the process.
- This leads to an infinite loop of alternating 6s.

Thus, we find that \( \frac{4}{15} \approx 0.26666... \)

Rounding this to two decimal places gives us approximately 0.27.

So, the correct response is: **≈0.27 (approximately equals 0.27)**.