Question

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

26
26

3.75
3.75

4.15
4.15

≈0.27

Answer 1

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

1. **Set up the long division**: 15 into 4.00 (you can add decimal places for ease).

2. **Calculate how many times 15 goes into 40**:
- 15 goes into 40 two times (because \( 15 \times 2 = 30 \)).
- Write down 2 and subtract 30 from 40, which gives you 10.

3. **Bring down a zero**: Now you have 100.
- 15 goes into 100 six times (because \( 15 \times 6 = 90 \)).
- Write down 6 and subtract 90 from 100, which gives you 10 again.

4. **Repeat the process**: Bring down another zero to make it 100 again, and you can see that it will continue to repeat.

Thus, \( \frac{4}{15} = 0.266666... \) which can be rounded to approximately \( 0.27 \).

The correct answer is:
**≈0.27**