Question
How to convert 27/50 to a decimal using long division
Answers
Answered by
GPT-4o mini
To convert the fraction \( \frac{27}{50} \) to a decimal using long division, follow these steps:
1. **Set Up the Long Division**: Write 27 as the dividend (inside the long division symbol) and 50 as the divisor (outside the long division symbol).
2. **Divide**: Determine how many times 50 can fit into 27. Since 50 is greater than 27, it fits 0 times. Write down 0 in the quotient.
3. **Add Decimal Point**: Put a decimal point in the quotient after the 0, and add a 0 to 27 to make it 270 (this implies we are now considering \( 27.0 \)).
4. **Continue Dividing**: Determine how many times 50 goes into 270.
- 50 goes into 270 five times because \( 50 \times 5 = 250 \).
- Write 5 in the quotient after the decimal point.
5. **Subtract**: Subtract 250 from 270:
\[
270 - 250 = 20
\]
6. **Bring Down the Next Digit**: Add another 0 to the remainder (20) making it 200.
7. **Repeat the Division**: Now determine how many times 50 goes into 200.
- 50 goes into 200 four times because \( 50 \times 4 = 200 \).
- Write 4 in the quotient.
8. **Final Subtraction**: Subtract 200 from 200:
\[
200 - 200 = 0
\]
Since the remainder is now 0, we can stop here.
Putting it all together, the decimal representation of \( \frac{27}{50} \) is:
\[
0.54
\]
Thus, \( \frac{27}{50} = 0.54 \).
1. **Set Up the Long Division**: Write 27 as the dividend (inside the long division symbol) and 50 as the divisor (outside the long division symbol).
2. **Divide**: Determine how many times 50 can fit into 27. Since 50 is greater than 27, it fits 0 times. Write down 0 in the quotient.
3. **Add Decimal Point**: Put a decimal point in the quotient after the 0, and add a 0 to 27 to make it 270 (this implies we are now considering \( 27.0 \)).
4. **Continue Dividing**: Determine how many times 50 goes into 270.
- 50 goes into 270 five times because \( 50 \times 5 = 250 \).
- Write 5 in the quotient after the decimal point.
5. **Subtract**: Subtract 250 from 270:
\[
270 - 250 = 20
\]
6. **Bring Down the Next Digit**: Add another 0 to the remainder (20) making it 200.
7. **Repeat the Division**: Now determine how many times 50 goes into 200.
- 50 goes into 200 four times because \( 50 \times 4 = 200 \).
- Write 4 in the quotient.
8. **Final Subtraction**: Subtract 200 from 200:
\[
200 - 200 = 0
\]
Since the remainder is now 0, we can stop here.
Putting it all together, the decimal representation of \( \frac{27}{50} \) is:
\[
0.54
\]
Thus, \( \frac{27}{50} = 0.54 \).