To convert the fraction 27/50 to a decimal using long division, follow these steps:
1. Write down 27 as the dividend and 50 as the divisor.
_______
50 | 27
2. Divide 27 by 50. Since 27 is less than 50, you start with the decimal point and add a zero after it to divide by 50.
_______
50 | 27.0
3. Divide 27 by 50. The quotient is the whole number you get when dividing. In this case, it is 0.
_______
50 | 27.0
-0
4. Multiply the quotient (0) by the divisor (50). Write the product below the dividend.
_______
50 | 27.0
-0
0
5. Subtract the product (0) from the dividend (27) and write the result below.
_______
50 | 27.0
-0
-----
27
6. Bring down the next digit from the dividend (0) and place it next to the result.
_______
50 | 27.0
-0
-----
27 0
7. Divide 270 by 50. The quotient is 5.
_______
50 | 27.0
-0
-----
27 0
-25 0
-----
200
8. Multiply the quotient (5) by the divisor (50). Write the product below the current result.
_______
50 | 27.0
-0
-----
27 0
-25 0
-----
200
200
9. Subtract the product (250) from the current result (270) and write the difference below.
_______
50 | 27.0
-0
-----
27 0
-25 0
-----
200
200
-----
70
10. Bring down any remaining digits from the dividend. Since there are no more digits, the division is complete.
11. The final result is 0.54, which corresponds to option D.