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

Question

Responses

3.75
3.75

26
26

4.15
4.15

≈0.27

Answer 1

To convert \( \frac{4}{15} \) to a decimal using long division:

1. Set up the long division of 4 divided by 15.
2. Since 15 does not go into 4, we can add a decimal point and add a zero, making it 40.
3. 15 goes into 40 two times (15 x 2 = 30).
4. Subtract 30 from 40, which leaves us with 10.
5. Bring down another zero, making it 100.
6. 15 goes into 100 six times (15 x 6 = 90).
7. Subtract 90 from 100, leaving 10 again.
8. Bring down another zero, making it 100 again.
9. Repeat the process of subtracting 90 and bringing down zeros.

Doing this, we find that the decimal repeats as \( 0.26666... \)

Thus, \( \frac{4}{15} \approx 0.27 \) when rounded to two decimal places.

The correct response is: ≈0.27.