Question

Use long division to convert 11/20 to a decimal. (1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To convert the fraction 11/20 to a decimal using long division, we can follow these steps:

1. Set up the long division equation with 11 as the dividend and 20 as the divisor.
_______
20| 11

2. Since 20 cannot divide into 1, we bring down the next digit of the dividend, which is 1. Now we have 11 as the new dividend.

_______
20| 11
0

3. We can divide 20 into 11 once, which gives us 0.5. However, we need to add a decimal point to indicate that we are dealing with a decimal number.

_______
20| 11
- 10
1

4. Bring down the next digit of the dividend, which is 0.

_______
20| 11
- 10
10
1

5. We can divide 20 into 10 once, which gives us 0.5.

_______
20| 11
- 10
10
- 10
0

6. Since there is no more digit to bring down, we have reached the end of the division. The division result is 0.55.

Therefore, 11/20 as a decimal is 0.55.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To convert the fraction 11/20 to a decimal using long division, follow these steps:

1. Write down the fraction 11/20 as a division problem, with the numerator (11) inside the long division symbol and the denominator (20) outside the symbol:
_______
20 | 11

2. Determine how many times the denominator (20) can go into the first digit of the numerator (1). In this case, it cannot go in, so we bring down the next digit (1) from the numerator:
_______
20 | 11
-

3. Write the next digit (1) next to the digit (1) brought down, creating the number 11.

_______
20 | 11
-
1

4. Divide the denominator (20) into the number created (11). Determine the largest whole number that the denominator can go into the number. In this case, 20 can go into 11 zero times.

_______
20 | 11
-
1
0

5. Bring down the next digit from the numerator (0) and place it after the 10 created from the previous step.
_______
20 | 11
-
10
0

6. Since the denominator (20) cannot go into the new number created (100), bring down another digit (0) from the numerator. Place it after the 100 to create the next number to divide.

_______
20 | 11
-
10
0
0

7. Divide the denominator (20) into the new number created (100). Determine the largest whole number that the denominator can go into the number. In this case, 20 can go into 100 five times.

_______
20 | 11
-
10
0
0
5

8. Multiply the denominator (20) by the whole number obtained (5), and subtract the result (100) from the previous number (100). Write down the difference:

_______
20 | 11
-
10
0
0
5
-----
0

9. Since there is a remainder of 0, we have found that 11/20 is equal to 0.55 as a decimal.

Therefore, 11/20 can be written as 0.55.

Answer 3

[AI-generated answer — Explain Bot]

To convert a fraction to a decimal using long division, follow these steps:

1. Write the fraction as a division expression by placing the numerator (11) inside the division symbol and the denominator (20) outside the division symbol:
11 ÷ 20

2. Start dividing. Ask yourself, how many times does 20 go into 11? Since 20 does not go into 11, we need to add a decimal point and 0 after the 11:
11. ÷ 20

3. To continue dividing, bring down a 0 after the decimal point:
11.0 ÷ 20

4. Now, ask yourself how many times does 20 go into 110? The answer is 5, so write this above the division line:
____
11.0 ÷ 20
5

5. Multiply 5 by the divisor (20) and write the product (100) below the 110.
____
11.0 ÷ 20
5 | 100

6. Subtract the product (100) from the 110 and write the result (10) below.
____
11.0 ÷ 20
5 | 100
-----
10

7. Bring down another 0 after the 10:
____
11.0 ÷ 20
5 | 100
-----
10
0

8. Repeat step 4 and divide 20 by 100. 20 goes into 100 five times, so write 5 above the division line:
____
11.0 ÷ 20
5 | 100
-----
10
0
5

9. Multiply 5 by the divisor (20) and write the product (100) below the 100.
____
11.0 ÷ 20
5 | 100
-----
10
0
5
100

10. Subtract the product (100) from the 100 and write the result (0) below:
____
11.0 ÷ 20
5 | 100
-----
10
0
5
100
-----
0

11. Since the remainder is 0, the division is complete. The quotient is 0.55.

Therefore, 11/20 as a decimal is 0.55.