Use long division to convert 27/50 to a decimal.(1 point)

Question

Responses

Answer 1

To convert 27/50 to a decimal using long division, follow these steps:

1. Set up the division problem: Place the divisor (50) outside the division symbol and the dividend (27) inside the division symbol.

_______
50 | 27

2. Divide the first digit of the dividend (2) by the divisor (50). If necessary, add a decimal point to the quotient above.

.5
_______
50 | 27

3. Multiply the divisor (50) by the quotient (0.5) and subtract the result from the dividend (27). Place the remainder (27 - 25 = 2) next to the next digit, which is 7, from the dividend.

.5
_______
50 | 27
-25

4. Bring down the next digit from the dividend (7) and place it next to the remainder (2) to form the new dividend (27).

.54
_______
50 | 27
-25
2

5. Repeat steps 2-4 until there are no more digits in the dividend.

.54
_______
50 | 27
-25
2
20

6. Divide the new dividend (20) by the divisor (50). The quotient is 0.4.

.54
_______
50 | 27
-25
2
20
- 20

7. Since there are no more digits in the dividend, the division process is complete. The final quotient is 0.54.

Therefore, 27/50 as a decimal is 0.54.