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

Question

Responses

≈0.27
approximately equals 0.27

4.15
4.15

26
26

3.75

Answer 1

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

1. Set up the division: 4.000 (considering 4 as 4.000 to handle the decimal) divided by 15.

2. Determine how many times 15 goes into 40:

   • 15 goes into 40 two times (2 x 15 = 30).
   • Write down 2 and subtract 30 from 40 to get 10.

3. Bring down the next digit (0):

   • Now we have 100.

4. Determine how many times 15 goes into 100:

   • 15 goes into 100 six times (6 x 15 = 90).
   • Write down 6 and subtract 90 from 100 to get 10.

5. Continue:

   • Again bring down the next 0 making it 100.
   • Repeat the process. 15 goes into 100 six times again, giving us 90 and leaving 10.

This process continues indefinitely with the same remainder. Thus, we find that:

\[ \frac{4}{15} \approx 0.2666... \]

Rounding this gives approximately \( 0.27 \).

So, the correct response is: ≈0.27.