Use long division to convert 27/50 to a decimal
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.
Use long division to convert 3 3/8 to a decimal
To convert the fraction 27/50 to a decimal using long division, follow these steps:
Step 1: Set up the long division problem by placing 27 as the dividend inside the division bracket and 50 as the divisor outside the bracket.
_______
50 │ 27
Step 2: Divide the first digit of the dividend (2) by the divisor (50). The result is 0 since 2 ÷ 50 = 0. Write this result above the line.
0
_______
50 │ 27
Step 3: Multiply the quotient (0) by the divisor (50) and write the result below the line.
0
_______
50 │ 27
0
Step 4: Subtract the result obtained in the previous step (0) from the dividend (27). Write the difference below the line.
0
_______
50 │ 27
0
-----
27
Step 5: Bring down the next digit of the dividend (0). Place it next to the difference obtained in the previous step.
0
_______
50 │ 27
0
-----
27
0
Step 6: Divide the updated dividend (270) by the divisor (50). The result is 5 since 270 ÷ 50 = 5. Write this result next to the previous quotient.
0.5
_______
50 │ 27
0
-----
27
0
-----
20
Step 7: Multiply the new quotient (0.5) by the divisor (50) and write the result below the line.
0.5
_______
50 │ 27
0
-----
27
0
-----
20
20
Step 8: Subtract the result obtained in the previous step (20) from the dividend (270). Write the difference below the line.
0.5
_______
50 │ 27
0
-----
27
0
-----
20
20
-----
7
Step 9: Bring down the next digit of the dividend (0). Place it next to the difference obtained in the previous step.
0.5
_______
50 │ 27
0
-----
27
0
-----
20
20
-----
7
0
Step 10: Divide the updated dividend (70) by the divisor (50). The result is 1.4 since 70 ÷ 50 = 1.4. Write this result next to the previous quotient.
0.54
_______
50 │ 27
0
-----
27
0
-----
20
20
-----
7
0
-----
70
Step 11: Multiply the new quotient (0.54) by the divisor (50) and write the result below the line.
0.54
_______
50 │ 27
0
-----
27
0
-----
20
20
-----
7
0
-----
70
50
Step 12: Subtract the result obtained in the previous step (50) from the dividend (70). Write the difference below the line.
0.54
_______
50 │ 27
0
-----
27
0
-----
20
20
-----
7
0
-----
70
50
-----
20
Step 13: Divide the updated dividend (20) by the divisor (50). The result is 0.4 since 20 ÷ 50 = 0.4. Write this result next to the previous quotient.
0.54
_______
50 │ 27
0
-----
27
0
-----
20
20
-----
7
0
-----
70
50
-----
20
20
-----
0
Step 14: Since the dividend (20) is now 0, we have completed the long division.
Step 15: The final quotient obtained is 0.54, which represents the decimal form of the fraction 27/50.
To convert the fraction 27/50 to a decimal using long division, follow these steps:
1. Set up the long division problem by writing the numerator (27) inside the division bracket and the denominator (50) outside of it.
____
50| 27
2. Start by dividing the first digit of the numerator (2) by the denominator (5). The result is 0 with a remainder of 2. Write the quotient (0) above the division bracket and bring down the next digit (7).
____
50| 27
0
3. Now, divide the new number (27) by the denominator (50): 27 divided by 50 is 0.54. Write the quotient (0.54) above the division bracket.
_____
50| 27
0.54
4. The division process stops here because there is no remainder. The final result is 0.54, which is the decimal equivalent of the fraction 27/50.
Therefore, 27/50 as a decimal is 0.54.