How do you change a mixed fraction to a decimal?

Question

In a previous question, many people answered that in order to change a fraction to a decimal simply divide the top number by the bottom number. That answer was accepted as best answer.

Very simple right? Wrong! Let's see you change a MIXED fraction to a decimal using the above math. For example: change 8 and 2/3 or 11 and 5/8 to a decimal. These fractions will require a math expert and can't be answered by simply dividing the top number by the bottom one.

Answer 1

8 and 2/3 = 8 + 2/3

11 and 5/8 = 11 + 5/8

You can do the conversion in 2 ways:

Put a decimal point behind the integer, and divide out the fraction to form the decimal.

8 = 8.00000

.. 0.66666.....

3)2

8.00000

+0.66666.....

-----------

8.66666.....

OR

Convert the mixed NUMBER into an improper fraction and divide the numerator by the denominator.

11 * 5/8 = (88 + 5)/8 = 93/8

.. 11.625

8)93.000

Either way will produce the same result, although the second is a bit of a waste of time.

Answer 2

Eight and 2/3 = 8 + (the top number divided by the bottom number) = 8 + (2/3) = 8.666...



11 and 5/8 = addition of 11 plus (5/8)....



For a mixed fraction, change back to a whole number plus a fraction less than one. You still have to divide out the portion that is less than one to find the part of the number after the decimal point.

Answer 3

Multiply the whole number by the by the bottom number of the fraction to give you a second fraction with a common denominator. Add the two fractions together and divide by the bottom number.



8 and 2/3 = (8*3)/3 + 2/3 = 24/3 + 2/3 = 26/3



26/3 = 8.666666

Answer 4

It isn't hard. First you make it a normal fraction by multiplying the whole number by the bottom of the fraction (denominator) and adding the top of the fraction to the result. The divide normally.



ie. 8 2/3 = (8*3)+ 2 = 26/3 = 8.667



or you can divide 2/3 and add it to 8 = 8.667

Answer 5

Wrong! for a mixed fraction the whole number remains the same;

or 8 and 2/3 equals 8.6666666, and 11 and 5/8 equals 11.625. the top number divided by the bottom.

Answer 6

You multiply the whole number by the denominator of the fraction and then add it to the numerator. Then, divide like you would with any regular fraction. In your example:



8 and 2/3



You do, 8 X 3 + 2 = 26



Now divide 26 by 3 and there's your answer...



Hope this helps!

Answer 7

No, you are wrong; it is very simple. The whole number is what it is, and the decimal part of it is the fractional remainder divided as stated. In your example, the decimal equivalent of 11 5/8 is 11.625. 5 divided by 8 is 0.625, you add the 11 (11.000) to it, and voila, you have your answer.



8 2/3 is 8.666666666 (repeating number, probably rounded off to 8.67 or 8.667).