decimal to fractionsWhen being asked how to solve the Arithmetic Means of 8,7,7,5,3,2, and 2, I understand that adding these numbers then dividing by 7 (the amount of numbers) gives me the decimal 4.85714... But when being asked to change this number into a fraction, I do not understand where the 6 7 comes from in the answer of 4 6 7 . Can someone please help me understand?

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decimal to fractionsWhen being asked how to solve the Arithmetic Means of 8,7,7,5,3,2, and 2, I understand that adding these numbers then dividing by 7 (the amount of numbers) gives me the decimal   4.85714... But when being asked to change this number into a fraction, I do not understand where the       6    7   comes from in the answer of   4      6    7  . Can someone please help me understand?

EreneDreaceaw · Accepted Answer

Adding   8  ,  7  ,  7  ,  5  ,  3  ,  2  , and   2 gives you   34. Divide that by 7. (manually, not with a calculator) you will get a quotient of 4 and a remainder of 6that gives you the answer    4      6    7  = 4.85714...

Averi Mitchell · Accepted Answer

Another way to see it:Let   a  =  0.      857142    ¯   (the overline part repeats).Then   1  ,  000  ,  000  a  =  857  ,  142.      857142    ¯  , so:  999  ,  999  a  =  857  ,  142 and then:  a  =                    857        ,        142                    999        ,        999              =                    95        ,        238                    111        ,        111              =                    8        ,        658                    10        ,        101              =            666      777        =            6      7

decimal to fractions When being asked how to solve the Arithmetic Means of 8,7,7,5,3,2, and 2, I un

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