Use long division to convert 4/15 to a decimal. (1 point)

Answer 1

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

Step 1: Set up the division as follows: divide 4 by 15.
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15 ) 4.000

Step 2: Begin dividing. How many times does 15 go into 40? The answer is 2.
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15 ) 4.000
-30
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10

Step 3: Bring down a 0 and divide again. How many times does 15 go into 100? The answer is 6.
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15 ) 4.000
-30
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10
- 10
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0

Step 4: The division ends with a remainder of 0, indicating that 4 divided by 15 is an exact division.

Therefore, the decimal representation of 4/15 is 0.26666... (where the decimal repeats indefinitely).