Use long division to convert 4/15 to a decimal.(1 point) Responses 26 26 ≈0.27 approximately equals 0.27 3.75 3.75 4.15

Answer 1

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

1. Set up the long division: 4 divided by 15.

2. Since 4 is less than 15, we start with 0. We can add a decimal point and zeros to 4 to proceed with the division.

3. Perform the division:

   • We consider 4.000 (adding decimal point and two zeros to start).
   • 15 goes into 40 two times (2 x 15 = 30).
   • Subtract 30 from 40, we get 10.
   • Bring down the next 0 (making it 100).
   • 15 goes into 100 six times (6 x 15 = 90).
   • Subtract 90 from 100, we get 10.
   • Bring down the next 0 to get 100 again.
   • Repeat the step: 15 goes into 100 six times again.
   • This will form a repeating pattern.

Putting it all together, we get:

• 4 divided by 15 = 0.2666... (where the 6 repeats).

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

So, the answer is approximately equals \( 0.27 \).