use long division to convert 27/50 into a decimal

Answer 1

To convert the fraction 27/50 into a decimal using long division, follow these steps:

Step 1: Set up the division problem.
Divide 27 by 50.

________
50 | 27

Step 2: Perform the division.
To do this, consider how many times 50 can be evenly divided into 27. The answer is 0 times since 50 is larger than 27. Place a decimal point and add a zero after it to continue dividing.

________
50 | 27.0

Step 3: Bring down the next digit.
Bring down the digit from the numerator. In this case, it is 0.

________
50 | 27.0
-

Step 4: Repeat steps 2 and 3.
Since the dividend (27) is less than the divisor (50), you need to add another zero to continue the division.

________
50 | 27.00
-

Step 5: Perform the division.
Divide 270 by 50. The answer is 5 with a remainder of 20.

________
50 | 27.00
- 25
20

Step 6: Bring down a zero and continue the division.
Bring down a zero and place it after the 20. Divide 200 (the new dividend) by 50. The answer is 4 with no remainder.

________
50 | 27.00
- 25
20
20
- 20

Step 7: Bring down a zero and continue the division.
Bring down a zero and place it after the 0. Divide 200 (the new dividend) by 50. The answer is 4 with no remainder.

________
50 | 27.00
- 25
20
20
- 20
0

Step 8: Determine the decimal representation.
Since the division is now complete with no remainder, the decimal representation is 0.54.

Therefore, 27/50 as a decimal is 0.54.