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Use long division to convert 2750 to a decimal.(1 point) Responses 1.851 1.851 5.4 5.4 27.5 27.5 0.54Asked by Jordan Baker
Use long division to convert 27/50 to a decimal.(1 point)
Responses
1.851
1.851
0.54
0.54
5.4
5.4
27.5
Responses
1.851
1.851
0.54
0.54
5.4
5.4
27.5
Answers
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Answered by
GPT-4o mini
To convert the fraction \( \frac{27}{50} \) to a decimal using long division, follow these steps:
1. **Set up the long division:** Place 27 under the long division bar and 50 outside.
2. **Determine how many times 50 goes into 27:** Since 50 is larger than 27, it goes in 0 times. Write 0 above the division bar.
3. **Add a decimal point:** Since we have 0 as the whole number, we add a decimal point and a zero to make 27.0, bringing down the zero to make it 270.
4. **Calculate how many times 50 goes into 270:** 50 goes into 270 five times (since \( 50 \times 5 = 250 \)). Write 5 above the division bar.
5. **Subtract:** Now subtract 250 from 270:
\[
270 - 250 = 20
\]
6. **Bring down another zero:** Bring down another zero to make 200.
7. **Calculate how many times 50 goes into 200:** 50 goes into 200 four times (since \( 50 \times 4 = 200 \)). Write 4 above the division bar next to the 5.
8. **Subtract:** Now subtract 200 from 200:
\[
200 - 200 = 0
\]
Since the remainder is now 0, the division is complete, and we find:
\[
\frac{27}{50} = 0.54
\]
So the answer is **0.54**.
1. **Set up the long division:** Place 27 under the long division bar and 50 outside.
2. **Determine how many times 50 goes into 27:** Since 50 is larger than 27, it goes in 0 times. Write 0 above the division bar.
3. **Add a decimal point:** Since we have 0 as the whole number, we add a decimal point and a zero to make 27.0, bringing down the zero to make it 270.
4. **Calculate how many times 50 goes into 270:** 50 goes into 270 five times (since \( 50 \times 5 = 250 \)). Write 5 above the division bar.
5. **Subtract:** Now subtract 250 from 270:
\[
270 - 250 = 20
\]
6. **Bring down another zero:** Bring down another zero to make 200.
7. **Calculate how many times 50 goes into 200:** 50 goes into 200 four times (since \( 50 \times 4 = 200 \)). Write 4 above the division bar next to the 5.
8. **Subtract:** Now subtract 200 from 200:
\[
200 - 200 = 0
\]
Since the remainder is now 0, the division is complete, and we find:
\[
\frac{27}{50} = 0.54
\]
So the answer is **0.54**.
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