Question

1. Use long division to convert 3 3/8 to a decimal
2. Use long division to convert 4/15 to a decimal
3. Use long division to convert 7/11 to a decimal
4. Use long division to convert 5 3/16 to a decimal

Answer 1

so without the explanation, what are the answers for 1 2 3 and 4

Answer 2

without the extra formatting

Answer 3

thx

Answer 4

Sure! I'll demonstrate how to use long division to convert each of the mixed numbers and fractions to decimal form.

### 1. Convert \(3 \frac{3}{8}\) to a Decimal

First, convert the mixed number to an improper fraction:

\[
3 \frac{3}{8} = \frac{3 \times 8 + 3}{8} = \frac{24 + 3}{8} = \frac{27}{8}
\]

Now we will divide \(27\) by \(8\):

```
3.375
__________
8 | 27.000
- 24 (8 * 3 = 24)
________
30
- 24 (8 * 3 = 24)
________
60
- 56 (8 * 7 = 56)
________
40
- 32 (8 * 4 = 32)
________
80
- 72 (8 * 9 = 72)
________
80
```

The division results in \(3.375\).

Thus, \(3 \frac{3}{8} = 3.375\).

---

### 2. Convert \(\frac{4}{15}\) to a Decimal

Now we divide \(4\) by \(15\):

```
0.2667
__________
15 | 4.0000
- 0 (15 * 0 = 0)
________
40
- 30 (15 * 2 = 30)
________
100
- 90 (15 * 6 = 90)
________
100
- 90 (15 * 6 = 90)
________
100
- 90 (15 * 6 = 90)
________
100
```

The division results in \(0.2666...\), which can be rounded to \(0.267\) for practical purposes.

Thus, \(\frac{4}{15} \approx 0.267\).

---

### 3. Convert \(\frac{7}{11}\) to a Decimal

Now we divide \(7\) by \(11\):

```
0.6363
__________
11 | 7.0000
- 0 (11 * 0 = 0)
________
70
- 66 (11 * 6 = 66)
________
40
- 33 (11 * 3 = 33)
________
70
- 66 (11 * 6 = 66)
________
40
```

The division results in \(0.6363...\), which indicates that it is a repeating decimal.

Thus, \(\frac{7}{11} \approx 0.6363...\).

---

### 4. Convert \(5 \frac{3}{16}\) to a Decimal

First, convert the mixed number to an improper fraction:

\[
5 \frac{3}{16} = \frac{5 \times 16 + 3}{16} = \frac{80 + 3}{16} = \frac{83}{16}
\]

Now we will divide \(83\) by \(16\):

```
5.1875
__________
16 | 83.0000
- 80 (16 * 5 = 80)
________
30
- 32 (16 * 2 = 32, but we take 1 instead)
________
100
- 96 (16 * 6 = 96)
________
40
- 32 (16 * 2 = 32)
________
80
- 80 (16 * 5 = 80)
________
0
```

The division results in \(5.1875\).

Thus, \(5 \frac{3}{16} = 5.1875\).

---

In summary:
1. \(3 \frac{3}{8} = 3.375\)
2. \(\frac{4}{15} \approx 0.267\)
3. \(\frac{7}{11} \approx 0.6363...\)
4. \(5 \frac{3}{16} = 5.1875\)

Answer 5

Sure! Here are the answers without the explanations:

1. \(3 \frac{3}{8} = 3.375\)

2. \(\frac{4}{15} \approx 0.267\)

3. \(\frac{7}{11} \approx 0.6363...\)

4. \(5 \frac{3}{16} = 5.1875\)

Answer 6

1. 3.375
2. 0.267
3. 0.6363...
4. 5.1875

Answer 7

You're welcome! If you have any more questions, feel free to ask!