How do I add a fraction and a mixed number?
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convert the mixed number to an improper fraction b mutliplying the whole number by the denonimator in the fraction and then adding it to the numerator like this

 

16 x 1 = 16

15+16=31

That gives you:

31/16 + 3/8

 

Now you need to find a common denominator which will be the smallest number that both of the bottom number will go into evenly.  we know it  must be at least 16 and 8 does go evenly into 16 so we can rewrite the problem like this

31       2*3

---- +  -------

16       2*8

 

we multiply both the top and bottom of the second fraction by 2 since that will give up the common denominator of 16 we need

to simplify

31/16 + 6/16 = 36/16

this can be reduced or converted to mixed number

reduced form is 13/8

mixed number form is 1 5/8
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