Question 139: How do u convert mixed numbers to decimals?
Found 2 solutions by KMST, MathTherapy:
Answer by KMST(5484)   (Show Source):
You can put this solution on YOUR website! If you have a mixed number, such as  ,
you already have the integer part.
You get the decimal part from the fraction part, by just dividing the numerator by the denominator.
 , because numerator  divided by denominator  is  .
If the denominator has no prime divisors other than 2 and 5,
the division ends without getting any remainder, and you get an exact decimal.
For example,  ,  ,  .
However, if the denominator is divisible by 3, 7,11, 13, 17, or any larger prime number,
you cannot get an exact decimal, and you have to round to a convenient number of decimal places.
As you keep dividing to get the next decimal place there is always a remainder,
and the division never ends, so any decimal that you can write will just be a rounded approximation.
You could round  to  for example,
or round  to  , or  .
In those cases, you get a repeating digit, or a sequence of decimal digits,
as in  or  .
The number of digits in the repeating sequence is never greater than the denominator minus 1.
The repeating sequence is  digits when the denominator is  ,
and  digits when the denominator is  .
The repeating sequence could be shorter, as in the 2-digit repeating sequence in  .
Answer by MathTherapy(10893)  (Show Source):
You can put this solution on YOUR website!
How do u convert mixed numbers to decimals?
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Convert to an IMPROPER fraction, then DIVIDE numerator by denominator
OR
For the PROPER FRACTION-part of the mixed number, DIVIDE numerator by
denominator to get a decimal, then ADD the WHOLE NUMBER to the decimal
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