Use long division to convert 4/15 to a decimal.

Answer 1

To convert 4/15 to a decimal using long division, follow these steps:

1. Write 4 as the dividend and 15 as the divisor.
_____
15| 4

2. Divide the first digit of the dividend (4) by the divisor (15) and write the quotient above the division line.
0.2
_____
15| 4

3. Multiply the quotient (0.2) by the divisor (15) and write the product below the dividend.
0.2
× 15
_____
3.0
_____
15| 4

4. Subtract the product (3.0) from the dividend (4), and write the difference below the line.
0.2
× 15
_____
3.0
- 3.0
_____
15| 4 - 3.0

5. Bring down the next digit (0) from the dividend and append it to the difference.
0.2
× 15
_____
3.0
- 3.0
_____
1

6. Repeat steps 2-5 until you have a desired level of accuracy or until the division terminates (i.e., when the remainder is 0 or the pattern repeats).

In this case, since there is no nonzero remainder or repeating pattern, we can stop here.

Therefore, 4/15 as a decimal is approximately 0.2.