Question

Use long division to convert 27/50 to a decimal.(1 point) Responses 27.5 27.5 0.54 0.54 5.4 5.4 1.851

Answer 1

Question Use long division to convert 3 3/8 to a decimal.(1 point) Responses 0.375 0.375 3.375 3.375 2.66 2.66 33.75 33.75

Answer 2

Use long division to convert 4/15 to a decimal.(1 point) Responses ≈0.27 approximately equals 0.27 3.75 3.75 26 26 4.15

Answer 3

Use long division to convert 7/11 to a decimal.(1 point) Responses ≈1.571428 approximately equals 1.571428 ≈0.63 approximately equals 0.63 7.11 7.11 63

Answer 4

Use long division to convert 5 3/16 to a decimal.(1 point) Responses 0.1875 0.1875 5.36 5.36 5.1875 5.1875 ≈5.3

Answer 5

To convert \( \frac{27}{50} \) to a decimal using long division, we can set it up as follows:

1. **Determine how many times 50 goes into 27**: Since 50 is greater than 27, it goes 0 times. Therefore, we place a decimal point and add a zero (making it 270).

2. **Now, we try 50 into 270**:
- 50 goes into 270 a total of 5 times (since \( 50 \times 5 = 250 \)).
- Write down 5 after the decimal point.

3. **Subtract** \( 250 \) from \( 270 \):
- \( 270 - 250 = 20 \).

4. **Bring down another zero** (making it 200):
- Now we determine how many times 50 goes into 200.
- 50 goes into 200 a total of 4 times (since \( 50 \times 4 = 200 \)).
- Write down 4.

5. **Subtract** \( 200 - 200 = 0 \).

Since we reached 0, we can stop here.

Putting it all together, we get \( 0.54 \).

The correct decimal representation of \( \frac{27}{50} \) is \( 0.54 \).

So the answer is **0.54**.

Answer 6

To convert the mixed number \( 3 \frac{3}{8} \) to a decimal, we'll first convert the fraction \( \frac{3}{8} \) into a decimal.

1. **Perform long division for \( 3 \div 8 \)**:
- 8 goes into 3 **0 times**. So we write down 0 and add a decimal point.
- Now, we can work with 30 (by adding a zero after the decimal).
- 8 goes into 30 **3 times** (since \( 8 \times 3 = 24 \)).
- We write down 3 after the decimal, giving us \( 0.3 \).

2. **Subtract** \( 24 \) from \( 30 \):
- \( 30 - 24 = 6 \).

3. **Bring down another zero**, making it 60.
- 8 goes into 60 **7 times** (since \( 8 \times 7 = 56 \)).
- Write down 7, giving us \( 0.37 \).

4. **Subtract** \( 56 \) from \( 60 \):
- \( 60 - 56 = 4 \).

5. **Bring down another zero**, making it 40.
- 8 goes into 40 **5 times** (since \( 8 \times 5 = 40 \)).
- Write down 5, giving us \( 0.375 \).

6. **Subtract** \( 40 \) from \( 40 \):
- \( 40 - 40 = 0 \), so we’ve finished converting.

Now, we add the whole number part (3) back to the decimal we found. Thus, \( 3 \frac{3}{8} = 3 + 0.375 = 3.375 \).

So the decimal representation of \( 3 \frac{3}{8} \) is **3.375**.

Answer 7

To convert \( \frac{4}{15} \) to a decimal using long division, we'll set it up as follows:

1. **Set up the division**: We're dividing 4 by 15. Since 15 is larger than 4, we can place a decimal point and add a zero, making it 40.

2. **Now determine how many times 15 goes into 40**:
- 15 goes into 40 **2 times** (since \( 15 \times 2 = 30 \)).
- Write down 2 after the decimal point.

3. **Subtract** \( 30 \) from \( 40 \):
- \( 40 - 30 = 10 \).

4. **Bring down another zero**, making it 100:
- Now determine how many times 15 goes into 100:
- 15 goes into 100 **6 times** (since \( 15 \times 6 = 90 \)).
- Write down 6 after the 2.

5. **Subtract** \( 90 \) from \( 100 \):
- \( 100 - 90 = 10 \).

6. **Repeat the process**:
- Bring down another zero to make it 100 again.
- We already know that 15 goes into 100 **6 times**, leaving us with 10 again.

This process will continue to repeat, leading to a recurring decimal \( 0.26666...\) (with the 6 repeating).

For practical purposes, if we round \( 0.26666...\) to two decimal places, it is approximately \( 0.27 \).

Thus, the decimal representation of \( \frac{4}{15} \) is approximately **0.27**.

Answer 8

To convert \( \frac{7}{11} \) to a decimal using long division, we follow these steps:

1. **Set up the division**: We are dividing \( 7 \) by \( 11 \). Since \( 11 \) is greater than \( 7 \), we can put a decimal point and add a zero, making it \( 70 \).

2. **Determine how many times 11 goes into 70**:
- \( 11 \) goes into \( 70 \) a total of **6 times** (since \( 11 \times 6 = 66 \)).
- We write down \( 6 \).

3. **Subtract** \( 66 \) from \( 70 \):
- \( 70 - 66 = 4 \).

4. **Bring down another zero**, making it \( 40 \):
- Now, determine how many times \( 11 \) goes into \( 40 \):
- \( 11 \) goes into \( 40 \) a total of **3 times** (since \( 11 \times 3 = 33 \)).
- Write down \( 3 \).

5. **Subtract** \( 33 \) from \( 40 \):
- \( 40 - 33 = 7 \).

6. **Bring down another zero**, making it \( 70 \) again:
- We repeat this process since \( 70 \) is the same as our first step. We already calculated that \( 11 \) goes into \( 70 \) **6 times**.

So far, the division gives us \( 0.63 \) with a repeating pattern starting from \( 6 \).

Thus, when we combine all the parts, \( \frac{7}{11} \) converts to \( 0.636363...\) or \( 0.\overline{63} \).

### Conclusion:
This indicates that \( \frac{7}{11} \) is approximately \( 0.63 \), leading us to the final answer:

The decimal representation of \( \frac{7}{11} \) is approximately **0.63**.

However, since you mentioned only specific responses, the more precise and longer decimal representation for \( \frac{7}{11} \) is approximately **1.571428** (if computed as a mixed number, which doesn't apply in this case, it's purely \( 0.\overline{6363} \)). The possible responses don't identify this, suggesting a mistake in options. Choose **0.63** for simplicity if you need.

So, the appropriate response is \( \approx 0.63 \). **If required more accurately, it's \( 0.636363...\)**.

Answer 9

To convert the mixed number \( 5 \frac{3}{16} \) to a decimal, we will first convert the fraction \( \frac{3}{16} \) into a decimal using long division.

### Step 1: Convert \( \frac{3}{16} \) to a decimal.

1. **Set up the division**: We are dividing \( 3 \) by \( 16 \). Since \( 16 \) is greater than \( 3 \), we can place a decimal point and add a zero, making it \( 30 \).

2. **Determine how many times \( 16 \) goes into \( 30 \)**:
- \( 16 \) goes into \( 30 \) a total of **1 time** (since \( 16 \times 1 = 16 \)).
- Write \( 1 \) after the decimal point.

3. **Subtract** \( 16 \) from \( 30 \):
- \( 30 - 16 = 14 \).

4. **Bring down another zero**, making it \( 140 \):
- Now, determine how many times \( 16 \) goes into \( 140 \):
- \( 16 \) goes into \( 140 \) a total of **8 times** (since \( 16 \times 8 = 128 \)).
- Write \( 8 \) after the \( 1 \).

5. **Subtract** \( 128 \) from \( 140 \):
- \( 140 - 128 = 12 \).

6. **Bring down another zero**, making it \( 120 \):
- \( 16 \) goes into \( 120 \) a total of **7 times** (since \( 16 \times 7 = 112 \)).
- Write \( 7 \) after the \( 18 \).

7. **Subtract** \( 112 \) from \( 120 \):
- \( 120 - 112 = 8 \).

8. **Bring down another zero**, making it \( 80 \):
- \( 16 \) goes into \( 80 \) a total of **5 times** (since \( 16 \times 5 = 80 \)).
- Write \( 5 \) after the \( 187 \).

9. **Subtract** \( 80 \) from \( 80 \) to get \( 0 \).

Putting it all together, we find that:

\[
\frac{3}{16} = 0.1875
\]

### Step 2: Add the whole number part.

Now we add this decimal to the whole number part of the mixed number:

\[
5 + 0.1875 = 5.1875
\]

### Conclusion

Therefore, the decimal representation of \( 5 \frac{3}{16} \) is \( 5.1875 \).

So, the correct response is **5.1875**.