10.5 divided by 5.5 (I chose this problem because it will OBVIOUSLY have a remainder) How should I convert the remainder to a decimal?

Josiah Owens

Josiah Owens

Answered question

2022-10-24

10.5 divided by 5.5 (I chose this problem because it will OBVIOUSLY have a remainder)
How should I convert the remainder to a decimal?

Answer & Explanation

Crubery3

Crubery3

Beginner2022-10-25Added 6 answers

Step 1
105 55 = 1 + 50 55
The remainder is 50 55 . If you want to know HOW to convert this to a decimal, you have to do long division. It is easiest to simplify the fraction first to get 10 11 . Do you know long division of this kind?
0.90 11 ) 10 ¯ 0 _ 100 99 _ 10 0 _ 100
At that point, you can see that it will start repeating as 0.909090...
We can round that off to 0.9 or 0.91 or 0.909 or 0.9091 or to any number of digits you want. Or you can concisely write it as 0. 90 ¯
rhenan5v

rhenan5v

Beginner2022-10-26Added 3 answers

Step 1
105 55 = 1 + 50 55 = 1 + 10 11 1.91
Use long division of the remainder 50 divided by divisor (55), or to divide 10 by 11 to obtain the non-integer portion of the answer. Indeed, you can simply use long division to obtain the complete decimal answer to 105 55 . . You will obtain 1.909090....

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