use long division to convert 27/50 into a decimal
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.
To convert a fraction into a decimal using long division, follow these steps to convert 27/50:
1. Divide the numerator (27) by the denominator (50).
- Place 0. in front of the division symbol.
- Write the numerator (27) inside the division symbol and the denominator (50) outside the division symbol.
- Perform the division as you would with whole numbers.
0.|27
----
50|27
2. Since 50 does not divide into 27, add a decimal point after the 0 and a zero after the 27.
0.|27
----
50|270
3. Determine how many times 50 can go into 270 without exceeding it.
- 50 can go into 27 (the first two digits of 270) zero times, so write 0 above the division line.
0.|27
----
50|270
0
4. Multiply 50 by the quotient (0) and write the result below the 27.
0.|27
----
50|270
0
5. Subtract the result (0) from 27, and bring down the next digit (0) to the right of 270.
0.|27
----
50|270
0
--
27
6. Repeat steps 3-5 until you have the desired level of decimal places or reach a recurring decimal pattern.
- Multiply 50 by the quotient (0) and write the result (0) below the previous result (0).
- Subtract 0 from 27 to get 27.
0.|27
----
50|270
0
--
27 (Since there are no more digits after 27, the division ends here.)
7. The final result is the quotient with the decimal point in front of it.
- In this case, the decimal representation of 27/50 is 0.54.
Therefore, 27/50 as a decimal is 0.54.