Use long division to convert 27/50 to a decimal

2 answers

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

Step 1: Set up the long division problem by dividing 27 by 50.
______
50 | 27

Step 2: Determine how many times 50 can fit into 27. The quotient will be written outside the division symbol.
The largest multiple of 50 that does not exceed 27 is 0, so the quotient is 0.
0
______
50 | 27

Step 3: Multiply the quotient (0) by the divisor (50) and subtract the result from the dividend (27).
0
______
50 | 27
- 0

Step 4: Bring down the next digit of the dividend, which is 7, and append it to the previous result.
0
______
50 | 27
- 0
-----
27

Step 5: Determine how many times 50 can fit into 27. Again, the quotient will be written outside the division symbol.
The largest multiple of 50 that does not exceed 27 is 0, so the quotient is 0.
0.0
______
50 | 27
- 0
-----
27

Step 6: Multiply the quotient (0) by the divisor (50) and subtract the result from the previous result.
0.0
______
50 | 27
- 0
-----
27

Step 7: Bring down the next digit of the dividend, which is 0, and append it to the previous result.
0.0
______
50 | 27
- 0
-----
270

Since 50 cannot fit evenly into 270, the process stops here to avoid an infinite decimal. Therefore, the decimal representation of 27/50 is approximately 0.54.
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