Question

Use long division to convert 4/15 to a decimal.
A. 26
B. = 0.27
C. 3.7
D. 4.15

Answer 1

Use long division to convert 7/11 to a decimal.
A. = 1.571428
B. 63
C. 7.11
D. =0.63

Answer 2

Use long division to convert 5 3/16 to a decimal.
A. 5.36
B. = 5.3
C. 0.1875
D. 5.1875

Answer 3

Use long division to convert 27/50 to a decimal.
A 5.4
B. 27.5
C. 1.851
D. 0.54

Answer 4

To convert 4/15 to a decimal using long division, follow these steps:

1. Set up the long division with 4 as the dividend and 15 as the divisor:
```
0.
15 │ 4
```

2. Divide 4 by 15: 4 ÷ 15 = 0.26 (0 is the quotient's whole number part).

3. Multiply the quotient by the divisor:
```
0.
15 │ 4.0
- 3.0
-----
10
- 10
-----
0
```

4. Since the remainder is 0, the division is complete.

Therefore, 4/15 as a decimal is 0.26.

So, the correct answer is B. = 0.27.

Answer 5

To convert 7/11 to a decimal using long division, follow these steps:

1. Set up the long division with 7 as the dividend and 11 as the divisor:
```
0.
11 │ 7
```

2. Divide 7 by 11: 7 ÷ 11 = 0.63 (0 is the quotient's whole number part).

3. Multiply the quotient 0.63 by the divisor:
```
0.
11 │ 7.00
- 6.6
-----
40
- 33
-----
70
- 66
-----
40
- 33
-----
70
- 66
-----
40
```

4. Carry on the division until the remainder repeats or becomes zero. In this case, the remainder remains 40, and the division repeats.

Therefore, 7/11 as a decimal is 0.63.

So, the correct answer is D. = 0.63.

Answer 6

To convert 5 3/16 to a decimal using long division, follow these steps:

1. Convert the mixed number to an improper fraction:
5 3/16 = (5 * 16 + 3) / 16 = 83/16

2. Set up the long division with 83 as the dividend and 16 as the divisor:
```
0.
16 │ 83
```

3. Divide 83 by 16: 83 ÷ 16 = 5.1875 (5 is the quotient's whole number part).

4. Multiply the quotient 5.1875 by the divisor:
```
5.
16 │ 83.00
- 80
-----
30
- 30
-----
0
```

5. Since the remainder is 0, the division is complete.

Therefore, 5 3/16 as a decimal is 5.1875.

So, the correct answer is D. 5.1875.

Answer 7

To convert 27/50 to a decimal using long division, follow these steps:

1. Set up the long division with 27 as the dividend and 50 as the divisor:
```
0.
50 │ 27
```

2. Divide 27 by 50: 27 ÷ 50 = 0.54 (0 is the quotient's whole number part).

3. Multiply the quotient 0.54 by the divisor:
```
0.
50 │ 27.00
- 25.5
-----
150
- 150
-----
0
```

4. Since the remainder is 0, the division is complete.

Therefore, 27/50 as a decimal is 0.54.

So, the correct answer is D. 0.54.