Use long division to convert 11/20 to a decimal
To convert 11/20 to a decimal using long division, divide 11 by 20 as shown below:
0.55
----------
20 | 11.00
0
---
10
0
---
100
The division continues indefinitely with a repeating pattern of 5s, so the decimal representation of 11/20 is 0.55.
To convert the fraction 11/20 to a decimal using long division, follow these steps:
1. Set up the division equation by writing 11 as the dividend and 20 as the divisor:
______
20| 11
2. Divide the first digit of the dividend (1) by the divisor (20). Since 1 is smaller than 20, bring down the next digit (1) to the right of 1, making the new dividend 11:
______
20| 11
-
3. Divide 11 by 20. Since 11 is smaller than 20, bring down the next digit (0) to the right of 11:
______
20| 11
- 0
4. Divide 110 by 20. The result is 5 with a remainder of 10. Write 5 above the line and 10 to the right, carrying it over:
______
20| 11
- 05
----
10
5. Divide 10 by 20. The result is 0.5. Write 0.5 after the decimal point:
______
20| 11
- 05
----
10
10
----
00
6. Since the remainder is zero, the division process is complete. The answer is 0.55 in decimal form.
Therefore, 11/20 in decimal form is 0.55.
To convert the fraction 11/20 to a decimal using long division, follow these steps:
1. Set up the long division problem. Write 11 as the dividend inside the division bracket, and 20 as the divisor outside the bracket.
```
0.##
________
20 | 11
```
2. Divide the first digit of the dividend (1) by the divisor (20). Write the quotient (0) above the division bracket.
```
0.##
________
20 | 11
0
```
3. Multiply the quotient (0) by the divisor (20), and subtract the product (0) from the dividend (11). Write the result (11) below the line.
```
0.##
________
20 | 11
-0
11
```
4. Bring down the next digit from the dividend (0) and write it beside the result. This forms the new dividend (110).
```
0.##
________
20 | 11
-0
11
-0
110
```
5. Divide the new dividend (110) by the divisor (20). Write the quotient (5) above the division bracket.
```
0.##
________
20 | 11
-0
11
-0
110
100
```
6. Multiply the quotient (5) by the divisor (20) and subtract the product (100) from the new dividend (110). Write the result (10) below the line.
```
0.##
________
20 | 11
-0
11
-0
110
100
-100
10
```
7. Bring down the next digit from the dividend (0) and write it beside the result. This forms the new dividend (100).
```
0.##
________
20 | 11
-0
11
-0
110
100
-100
10
-0
100
```
8. Divide the new dividend (100) by the divisor (20). Write the quotient (5) above the division bracket.
```
0.5##
________
20 | 11
-0
11
-0
110
100
-100
10
-0
100
100
```
9. Multiply the quotient (5) by the divisor (20) and subtract the product (100) from the new dividend (100). Write the result (0) below the line.
```
0.5##
________
20 | 11
-0
11
-0
110
100
-100
10
-0
100
100
-100
0
```
10. Since the remainder is now 0, the long division is complete. The final quotient is 0.55. Therefore, the fraction 11/20 can be converted to a decimal as 0.55.