What is 11/20 as a decimal using long division?
To convert 11/20 to a decimal using long division, follow these steps:
1. Place the decimal point after the 11 to create 11.____.
2. Divide 11 by 20. The quotient will be the whole number part of the decimal, and the remainder continued as a decimal fraction.
- Start by dividing 11 by 2, which equals 5 with a remainder of 1. Write down 5 above the line.
- Bring down the next digit of 0 from the dividend (11.0).
- Bring down a decimal point to the right of the 1 remainder, giving you 10.
- Divide 10 by 20, which equals 0.5. Write down 0.5 next to the 5.
5.0
___________
20) 11.0
- 10
______
1
0
0
3. The decimal representation of 11/20 is 0.55.
Therefore, 11/20 as a decimal using long division is 0.55.
Alright now what about 3 4/5
To convert 3 4/5 to a decimal using long division, follow these steps:
1. Convert the whole number part, 3, to a decimal by writing it to the left of the decimal point. The fraction part, 4/5, will be converted to a decimal fraction.
- Write 3 as 3.____.
2. Divide 4 by 5. The quotient will be the decimal fraction part of the number.
- Start by dividing 4 by 5, which equals 0 with a remainder of 4. Write down 0 above the line.
- Bring down the next digit of 0 from the dividend (4.0).
- Bring down a decimal point to the right of the remainder, giving you 40.
- Divide 40 by 5, which equals 8. Write down 8 next to the 0.
0.8
_________
5) 4.0
- 0
______
4
0
0
3. The decimal representation of 3 4/5 is 3.8.
Therefore, 3 4/5 as a decimal using long division is 3.8.
How 13/20
To convert 13/20 to a decimal using long division, follow these steps:
1. Place the decimal point after the 13 to create 13.____.
2. Divide 13 by 20. The quotient will be the whole number part of the decimal, and the remainder continued as a decimal fraction.
- Start by dividing 13 by 20, which equals 0 with a remainder of 13. Write down 0 above the line and carry down the next digit of 0 from the dividend (13.0).
- Bring down a decimal point to the right of the remainder, giving you 130.
- Divide 130 by 20, which equals 6 with a remainder of 10. Write down 6 next to the 0 and bring down the next digit of 0.
- Bring down a decimal point to the right of the remainder, giving you 100.
- Divide 100 by 20, which equals 5. Write down 5 next to the 6.
0.65
___________
20) 13.0
- 0
______
13
10
10
- 10
______
0
0
3. The decimal representation of 13/20 is 0.65.
Therefore, 13/20 as a decimal using long division is 0.65.
2/9 now
To convert 2/9 to a decimal using long division, follow these steps:
1. Place the decimal point after the 2 to create 2.____.
2. Divide 2 by 9. The quotient will be the whole number part of the decimal, and the remainder continued as a decimal fraction.
- Start by dividing 2 by 9, which equals 0 with a remainder of 2. Write down 0 above the line and carry down the next digit of 0 from the dividend (2.0).
- Bring down a decimal point to the right of the remainder, giving you 20.
- Divide 20 by 9, which equals 2 with a remainder of 2. Write down 2 next to the 0.
- Bring down a decimal point to the right of the remainder, giving you 20.
- Divide 20 by 9, which equals 2 with a remainder of 2. Write down 2 next to the previous 2.
0.22
___________
9) 2.000
- 0
______
2
2
0
- 18
______
2
0
3. The decimal representation of 2/9 is 0.22.
Therefore, 2/9 as a decimal using long division is 0.22.
The approximation should have one decimal place.
Apologies for the confusion. Let's redo the long division for 2/9 considering the approximation with only one decimal place.
1. Place the decimal point after the 2 to create 2.____.
2. Divide 2 by 9. The quotient will be the whole number part of the decimal, and the remainder continued as a decimal fraction.
- Start by dividing 2 by 9, which equals 0 with a remainder of 2. Write down 0 above the line and carry down the next digit of 0 from the dividend (2.0).
- Bring down a decimal point to the right of the remainder, giving you 20.
- Divide 20 by 9, which equals 2 with a remainder of 2. Write down 2 next to the 0.
0.2
___________
9) 2.0
- 0
______
2
2
3. The decimal representation of 2/9, rounded to one decimal place, is 0.2.
Therefore, 2/9 as a decimal using long division (rounded to one decimal place) is 0.2.
Now 27/50
To convert 27/50 to a decimal using long division, follow these steps:
1. Place the decimal point after the 27 to create 27.____.
2. Divide 27 by 50. The quotient will be the whole number part of the decimal, and the remainder continued as a decimal fraction.
- Start by dividing 27 by 50, which equals 0 with a remainder of 27. Write down 0 above the line and carry down the next digit of 0 from the dividend (27.0).
- Bring down a decimal point to the right of the remainder, giving you 270.
- Divide 270 by 50, which equals 5 with a remainder of 20. Write down 5 next to the 0.
- Bring down a decimal point to the right of the remainder, giving you 200.
- Divide 200 by 50, which equals 4. Write down 4 next to the previous 5.
0.54
___________
50) 27.0
- 0
______
27
20
20
- 20
______
0
3. The decimal representation of 27/50 is 0.54.
Therefore, 27/50 as a decimal using long division is 0.54.
How 3 3/8
To convert 3 3/8 to a decimal using long division, follow these steps:
1. Convert the whole number part, 3, to a decimal by writing it to the left of the decimal point. The fraction part, 3/8, will be converted to a decimal fraction.
- Write 3 as 3.____.
2. Divide 3 by 8. The quotient will be the decimal fraction part of the number.
- Start by dividing 3 by 8. Since 3 is smaller than 8, add a decimal placeholder of 0 after the decimal point. Write down 0 above the line.
- Bring down the next digit of 0 from the dividend (3.0).
- Bring down a decimal point to the right of the 0, giving you 30.
- Divide 30 by 8, which equals 3 with a remainder of 6. Write down 3 next to the 0 and bring down the next digit of 0.
- Bring down a decimal point to the right of the remainder, giving you 60.
- Divide 60 by 8, which equals 7 with a remainder of 4. Write down 7 next to the 3.
- Bring down a decimal point to the right of the remainder, giving you 40.
- Finally, divide 40 by 8, which equals 5. Write down 5 next to the 7.
3.375
___________
8) 3.000
-
______
30
24
24
- 24
______
60
56
56
- 56
_____
40
40
40
- 40
___
0
3. The decimal representation of 3 3/8 is 3.375.
Therefore, 3 3/8 as a decimal using long division is 3.375.
4/15 now
To convert 4/15 to a decimal using long division, follow these steps:
1. Place the decimal point after the 4 to create 4.____.
2. Divide 4 by 15. The quotient will be the whole number part of the decimal, and the remainder continued as a decimal fraction.
- Start by dividing 4 by 15, which equals 0 with a remainder of 4. Write down 0 above the line and carry down the next digit of 0 from the dividend (4.0).
- Bring down a decimal point to the right of the remainder, giving you 40.
- Divide 40 by 15, which equals 2 with a remainder of 10. Write down 2 next to the 0.
- Bring down a decimal point to the right of the remainder, giving you 100.
- Divide 100 by 15, which equals 6 with a remainder of 10. Write down 6 next to the previous 2.
0.26
___________
15) 4.00
- 0
______
40
30
30
- 30
______
100
90
90
- 90
______
10
0
3. The decimal representation of 4/15 is 0.26.
Therefore, 4/15 as a decimal using long division is 0.26.
Are you sure because the closest answer is = 0.27
Apologies for the mistake. You are correct.
To convert 4/15 to a decimal using long division:
1. Place the decimal point after the 4 to create 4.____.
2. Divide 4 by 15. The quotient will be the whole number part of the decimal, and the remainder continued as a decimal fraction.
- Start by dividing 4 by 15, which equals 0 with a remainder of 4. Write down 0 above the line and carry down the next digit of 0 from the dividend (4.0).
- Bring down a decimal point to the right of the remainder, giving you 40.
- Divide 40 by 15, which equals 2 with a remainder of 10. Write down 2 next to the 0.
- Bring down a decimal point to the right of the remainder, giving you 100.
- Divide 100 by 15, which equals 6 with a remainder of 10. Write down 6 next to the previous 2.
- Bring down a decimal point to the right of the remainder, giving you 100.
- Divide 100 by 15, which equals 6 with a remainder of 10. Write down 6 next to the previous 6.
0.26
___________
15) 4.00
- 0
______
40
30
30
- 30
______
100
90
90
- 90
______
10
0
3. The decimal representation of 4/15 is approximately 0.27 (rounded to two decimal places).
Therefore, 4/15 as a decimal using long division is approximately 0.27.
Now 7/11
To convert 7/11 to a decimal using long division, follow these steps:
1. Place the decimal point after the 7 to create 7.____.
2. Divide 7 by 11. The quotient will be the whole number part of the decimal, and the remainder continued as a decimal fraction.
- Start by dividing 7 by 11, which equals 0 with a remainder of 7. Write down 0 above the line and carry down the next digit of 0 from the dividend (7.0).
- Bring down a decimal point to the right of the remainder, giving you 70.
- Divide 70 by 11, which equals 6 with a remainder of 4. Write down 6 next to the 0.
- Bring down a decimal point to the right of the remainder, giving you 40.
- Divide 40 by 11, which equals 3 with a remainder of 7. Write down 3 next to the previous 6.
0.63
___________
11) 7.00
- 0
______
70
66
66
- 66
______
40
33
33
- 33
______
7
0
3. The decimal representation of 7/11 is 0.63.
Therefore, 7/11 as a decimal using long division is 0.63.
5 3/16 now
To convert 5 3/16 to a decimal using long division, follow these steps:
1. Convert the whole number part, 5, to a decimal by writing it to the left of the decimal point. The fraction part, 3/16, will be converted to a decimal fraction.
- Write 5 as 5.____.
2. Divide 3 by 16. The quotient will be the decimal fraction part of the number.
- Start by dividing 3 by 16. Since 3 is smaller than 16, add a decimal placeholder of 0 after the decimal point. Write down 0 above the line.
- Bring down the next digit of 0 from the dividend (3.0).
- Bring down a decimal point to the right of the 0, giving you 30.
- Divide 30 by 16, which equals 1 with a remainder of 14. Write down 1 next to the 0.
- Bring down a decimal point to the right of the remainder, giving you 140.
- Divide 140 by 16, which equals 8 with a remainder of 8. Write down 8 next to the 1.
5.21
___________
16) 3.000
-
______
30
16
16
- 16
______
140
128
128
- 128
______
12
0
3. The decimal representation of 5 3/16 is 5.21.
Therefore, 5 3/16 as a decimal using long division is 5.21.
Are you sure the closest answers are ‘= 5.3” and “5.1875” and “5.36”
Apologies for the incorrect response. Let's redo the long division for 5 3/16 considering the closest decimal approximations:
1. Convert the whole number part, 5, to a decimal by writing it to the left of the decimal point. The fraction part, 3/16, will be converted to a decimal fraction.
- Write 5 as 5.____.
2. Divide 3 by 16. The quotient will be the decimal fraction part of the number.
- Start by dividing 3 by 16. Since 3 is smaller than 16, add a decimal placeholder of 0 after the decimal point. Write down 0 above the line.
- Bring down the next digit of 0 from the dividend (3.0).
- Bring down a decimal point to the right of the 0, giving you 30.
- Divide 30 by 16, which equals 1 with a remainder of 14. Write down 1 next to the 0.
- Bring down a decimal point to the right of the remainder, giving you 140.
- Divide 140 by 16, which equals 8 with a remainder of 8. Write down 8 next to the 1.
5.18
___________
16) 3.00
-
______
30
16
16
- 16
______
140
128
128
- 128
______
12
0
3. The decimal representation of 5 3/16, considering the closest approximations, is approximately 5.18.
Therefore, 5 3/16 as a decimal using long division (approximation) is approximately 5.18.
So the answer would be 5.1875
Apologies for the oversight. You are correct.
To convert 5 3/16 to a decimal using long division:
1. Convert the whole number part, 5, to a decimal by