Question

Use long division to convert 3/16 to a decimal

Answer 1

[AI-generated answer — Bot GPT 3.5]

To convert 3/16 to a decimal using long division, follow these steps:

1) Write down 3 as the dividend and 16 as the divisor.
2) Perform the division by dividing the first digit of the dividend (3) by the divisor (16). The result is 0 with a remainder of 3.
3) Bring down the next digit (0) from the dividend to the right of the remainder to form the new dividend (30).
4) Divide the new dividend (30) by the divisor (16). The result is 1 with a remainder of 14.
5) Bring down the next digit (0) from the dividend to the right of the remainder to form the new dividend (140).
6) Divide the new dividend (140) by the divisor (16). The result is 8 with a remainder of 8.
7) Bring down the next digit (0) from the dividend to the right of the remainder to form the new dividend (80).
8) Divide the new dividend (80) by the divisor (16). The result is 5 with a remainder of 0.
9) Since there is no remainder anymore, the division is complete.

The quotient obtained from the division is 0.1875. Therefore, 3/16 as a decimal is 0.1875.

Answer 2

Use long division to convert 11/20

to a decimal

Answer 3

[AI-generated answer — Bot GPT 3.5]

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

1) Write down 11 as the dividend and 20 as the divisor.
2) Perform the division by dividing the first digit of the dividend (1) by the divisor (20). The result is 0 with a remainder of 1.
3) Bring down the next digit (1) from the dividend to the right of the remainder to form the new dividend (11).
4) Divide the new dividend (11) by the divisor (20). The result is 0 with a remainder of 11.
5) Bring down the next digit (0) from the dividend to the right of the remainder to form the new dividend (110).
6) Divide the new dividend (110) by the divisor (20). The result is 5 with a remainder of 10.
7) Bring down the next digit (0) from the dividend to the right of the remainder to form the new dividend (100).
8) Divide the new dividend (100) by the divisor (20). The result is 5 with a remainder of 0.
9) Since there is no remainder anymore, the division is complete.

The quotient obtained from the division is 0.55. Therefore, 11/20 as a decimal is 0.55.

Answer 4

Use long division to convert 3 4/5

to a decimal

Answer 5

[AI-generated answer — Bot GPT 3.5]

To convert 3 4/5 to a decimal using long division, follow these steps:

1) Convert the whole number part, 3, to a fraction by placing it over 1: 3/1.
2) Multiply the denominator of the whole number part (1) by the denominator of the fractional part (5) and add the numerator of the fractional part (4) to get the new denominator: 1 * 5 + 4 = 9.
3) Write 3/1 as 15/5 to have a common denominator with the fractional part.
4) Add the numerator of the whole number part (15) to the numerator of the fractional part (4) to get the new numerator: 15 + 4 = 19.
5) Write the new fraction, 19/5, as the dividend and the divisor remains as 5.
6) Perform the division by dividing the first digit of the dividend (19) by the divisor (5). The result is 3 with a remainder of 4.
7) Bring down the next digit (0) from the dividend to the right of the remainder to form the new dividend (40).
8) Divide the new dividend (40) by the divisor (5). The result is 8 with a remainder of 0.
9) Since there is no remainder anymore, the division is complete.

The quotient obtained from the division is 3.8. Therefore, 3 4/5 as a decimal is 3.8.

Answer 6

Use long division to convert 13/20 to a decimal

Answer 7

[AI-generated answer — Bot GPT 3.5]

To convert 13/20 to a decimal using long division, follow these steps:

1) Write down 13 as the dividend and 20 as the divisor.
2) Perform the division by dividing the first digit of the dividend (1) by the divisor (20). The result is 0 with a remainder of 1.
3) Bring down the next digit (3) from the dividend to the right of the remainder to form the new dividend (13).
4) Divide the new dividend (13) by the divisor (20). The result is 0 with a remainder of 13.
5) Bring down a zero from the dividend to the right of the remainder to form the new dividend (130).
6) Divide the new dividend (130) by the divisor (20). The result is 6 with a remainder of 10.
7) Bring down a zero from the dividend to the right of the remainder to form the new dividend (100).
8) Divide the new dividend (100) by the divisor (20). The result is 5 with a remainder of 0.
9) Since there is no remainder anymore, the division is complete.

The quotient obtained from the division is 0.65. Therefore, 13/20 as a decimal is 0.65.

Answer 8

Use long division to convert 2/9 to a decimal. Your approximate should have one decimal place

Answer 9

[AI-generated answer — Bot GPT 3.5]

To convert 2/9 to a decimal using long division, follow these steps:

1) Write down 2 as the dividend and 9 as the divisor.
2) Perform the division by dividing the first digit of the dividend (2) by the divisor (9). The result is 0 with a remainder of 2.
3) Bring down a zero from the dividend to the right of the remainder to form the new dividend (20).
4) Divide the new dividend (20) by the divisor (9). The result is 2 with a remainder of 2.
5) Bring down a zero from the dividend to the right of the remainder to form the new dividend (20).
6) Divide the new dividend (20) by the divisor (9). The result is 2 with a remainder of 2.
7) Bring down a zero from the dividend to the right of the remainder to form the new dividend (20).
8) Divide the new dividend (20) by the divisor (9). The result is 2 with a remainder of 2.

The division continues indefinitely with a repeating pattern of 2.2. Therefore, 2/9 as a decimal is approximately 0.2 (rounded to one decimal place).

Answer 10

[AI-generated answer — Explain Bot]

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

Step 1: Write the fraction as a division problem by placing the numerator (3) inside the division bracket and the denominator (16) outside the division bracket.

0.______
16 | 3

Step 2: Determine how many times the denominator (16) can go into the numerator (3).

0.1_____
16 | 3

3 divided by 16 is 0 with a remainder of 3.

Step 3: Bring down the next digit, which means adding a zero after the remainder.

0.18____
16 | 30

Step 4: Divide the new number (30) by the denominator (16).

0.1875___
16 | 30

16 divides into 30 one time, giving you a quotient of 1.

Step 5: Multiply the quotient (1) by the denominator (16), and subtract the result from the dividend (30).

1
0.1875___
16 | 30
16
---
14

Step 6: Bring down the next digit, which is zero.

1.18____
16 | 300

Step 7: Divide the new number (300) by the denominator (16).

1.1875____
16 | 300

16 divides into 300 eighteen times, giving you a quotient of 18.

Step 8: Multiply the quotient (18) by the denominator (16), and subtract the result from the dividend (300).

18
1.1875____
16 | 300
288
---
12

Step 9: Bring down another zero.

18.75____
16 | 120


Step 10: Divide the new number (120) by the denominator (16).

18.75____
16 | 120

16 divides into 120 seven times, giving you a quotient of 7.

Step 11: Multiply the quotient (7) by the denominator (16), and subtract the result from the dividend (120).

7
18.75____
16 | 120
112
----
8

Step 12: Bring down another zero.

18.75_____
16 | 80

Step 13: Divide the new number (80) by the denominator (16).

18.75_____
16 | 80

16 divides into 80 five times, giving you a quotient of 5.

Step 14: Multiply the quotient (5) by the denominator (16), and subtract the result from the dividend (80).

5
18.75_____
16 | 80
80
---
0

Since the remainder is zero, the long division process is complete.

Therefore, 3/16 can be written as the decimal form 0.1875.