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let's figure out what 11 and 12 sixteenths minus five and eight sixteenths is and then we might have to simplify it down to lowest terms so the way I like to do these is to kind of separate out the whole number part of the mixed numbers from the fractional part so I can rewrite this number right over here as 11 plus 12 over 16 and from that I am going to subtract and I'll put parentheses here because I'm going to break this part open I am going to subtract I'm going to subtract 5 plus 8 over 16 5 + 8 16 same thing as 5 plus 8 16 but after remember I'm subtracting it I'm subtracting this whole thing so I can rewrite it as I'll rewrite this part 11 plus 12 over 16 and if I'm and I'm subtracting 5 plus 8 16 so I can distribute the negative sign so it's going to be minus 5 minus 5 negative 1 times 5 and the negative 1 times positive 8 16 so it's going to be minus minus 8 over 16 minus 8 over 16 and then I like to do the whole number part separately and then the fractional part separately so let's do the whole number part so we have 11 minus 5 I'll write it here 11 minus 5 we'll do that part that's the whole number part and then we have plus plus 12 16 so let me do this in pink maybe plus 12 16 12 16 minus 8 16 minus 8 over 16 and 11 minus 5 is 6 and I have 6 plus and then our denominators are the same here so we're going to get something over 16 and 12 minus 8 is 4 so this is the same thing as 6 plus 4 over 16 which is the same thing as writing as a mixed number 6 and 4 16 6 + 4 16 and this is the right quantity but we can simplify it for over 16 can be simplified both the numerator and the denominator are divisible by 4 they both have the factor 4 so let's divide both the numerator by 4/4 / 4 since we're dividing by the same thing we're not changing its quantity and so this is equal to we still have the whole number part 6 but the fraction part is now 1 1 / 4 so we get 6 and 1/4