Question

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

4.15
4.15

≈0.27
approximately equals 0.27

26
26

3.75

Answer 1

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

1. **Set up the long division.**
- 4 is the dividend and 15 is the divisor. Since 4 is less than 15, we place a decimal point and add zeros: 4.000…

2. **Divide 15 into 40 (the first two digits).**
- 15 goes into 40 two times (2 × 15 = 30).
- Write 2 above the line.

3. **Subtract 30 from 40.**
- \( 40 - 30 = 10 \).

4. **Bring down the next 0 to make it 100.**

5. **Divide 15 into 100.**
- 15 goes into 100 six times (6 × 15 = 90).
- Write 6 above the line.

6. **Subtract 90 from 100.**
- \( 100 - 90 = 10 \).

7. **Bring down the next 0 to make it 100 again.**
- This process will repeat.

As you can see, we will get 0.2666... which can be rounded to approximately \(0.27\).

Therefore, the decimal equivalent of \( \frac{4}{15} \) is approximately **0.27**.