hey guys it's Kaeleigh this lesson is about adding with mixed numbers so here
we see whole number 3 plus 3 and 1/3 so before we go ahead and add these let's
remember that a mixed number here is the same as saying 3 plus 1/3 so we can
rewrite this whole expression out as 3 plus 3 plus 1/3 then we can go ahead and
start by adding our whole numbers together 3 plus 3 gives us 6 and then we
have to add our 1/3 which we can write as a mixed number 6 and 1/3 and there's
our answer there all right let's try a trickier one so in this one we have two
and a half plus five and a half but let's expand our mixed numbers out we
know that's just saying a whole number plus a fraction plus a whole number plus
a fraction and now we can rearrange this because it's addition any way we want so
I can say my whole number is 2 plus 5 plus my fractions a half plus a half and
now if I go ahead and I add my whole numbers five plus two will give me seven
and now if I go ahead and I add my fractions
I check my denominators they match so I say my numerators add together on top I
keep my denominator on the bottom and I get 7 plus 2 over 2 but 2 over 2 I can
rewrite as a 1 so this is telling me it's 7 plus 1 which is equal to a whole
number 8 which is right there nice let's try one more together so now
I have two mixed numbers 1 and 2/5 plus 1 and 4/5 so let's rewrite this I'm
expanding out my mixed numbers as 1 plus a fraction plus a whole number plus a
fraction now if I want to rearrange this I can
say one plus one plus my fractions and let's see we can combine some steps here
I see that these have the same denominator so I can go ahead I'm gonna
add my whole numbers one plus one it gives me two and then I'm gonna go ahead
and I'm going to add my numerators 2 plus 4 over 5 so that's gonna give me 2
plus 6 over 5 so before I go ahead and write this just as a mixed number I see
that this is an improper fraction so let's rewrite our improper fraction as a
mixed number and then we can add that mixed number to our whole number over
here so to do that I remember but my fraction just means division so why I
say 5 goes into 6 how many times 1 times and 1 times 5 is 5 I go ahead and I
subtract these I get 1 and now I'm going to write my remainder as a fraction so
my remainder is 1/5 member I take my remainder I write it as my numerator and
I take my divisor and I write as my denominator so I can now replace this 6
fifths here with my improper fraction so I've 2 plus 1 plus 1/5
I now can add here my whole number is 3 and 1/5 there's my answer there so nice
work adding mixed numbers you get to practice this on your own by doing the
online games and quizzes have fun and remember to always be clever