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# Subtracting mixed numbers with like denominators

## Video transcript

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