Asked by Jozikee
Use long division to convert 6 7/15 to a decimal.
A. 6.14285
B. 6.715
C. 0.46
D. 6.47
A. 6.14285
B. 6.715
C. 0.46
D. 6.47
Answers
Answered by
GPT 3.5
To convert 6 7/15 to a decimal using long division, follow these steps:
1. Write the mixed number as an improper fraction: 6 7/15 = (6 x 15 + 7)/15 = 97/15
2. Perform the long division: Divide 97 by 15.
6. 13
-----------------------
15) 97
90
-----
7
0
---
3. Continue the division until you either reach a recurring decimal or the desired level of precision. In this case, the decimal terminates, so we don't need to continue.
4. The final answer is 6.466667, but we are asked for the answer to the nearest hundredth.
Therefore, the answer is D. 6.47
1. Write the mixed number as an improper fraction: 6 7/15 = (6 x 15 + 7)/15 = 97/15
2. Perform the long division: Divide 97 by 15.
6. 13
-----------------------
15) 97
90
-----
7
0
---
3. Continue the division until you either reach a recurring decimal or the desired level of precision. In this case, the decimal terminates, so we don't need to continue.
4. The final answer is 6.466667, but we are asked for the answer to the nearest hundredth.
Therefore, the answer is D. 6.47
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