hey guys it's me Kaeleigh today's lesson is on dividing and using our remainder as a
fraction so make sure you've already watched the videos about division in
general so that you know how to get started all right let's go
so we're gonna start with a simple problem with single digits so here it
says 4 divided by 3 I'm going to write it in standard form so it's 3 goes into
4 how many times so I know 3 goes into 4 one time 1 times 3 is 3 and I'm gonna
subtract those I get a 1 and then I'm gonna say 3 goes into 1 I know it can't
go in a whole number of times so I would say my remainder is 1 right so this is
doing division where I'm writing my remainder as a whole number like this
but in this lesson we're learning how to write our remainder as a fraction so
what I do to write my remainder of 1 as a fraction is I take my remainder 1 I
put it as the numerator of my fraction and then I take my divisor which is this
number over 3 over here and 3 becomes my denominator so let's try 2 and if I say
3 goes into 4 I know it goes in 1 time 1 times 3 is 3 I subtract these I have one
left over I'm at this point here where I say my remainder is 1 so I'm gonna say
my remainder is 1 remember it goes in the numerator and then my divisor which
is 3 goes in the denominator so now I've written my remainder of 1 here as a
fraction 1/3 so I can say 4 divided by 3 is equal to 1 and 1/3 all right let's
try some harder problems together all right so 19 divided by 7 so let's
write it out so 7 goes into 19 how many times from in fact families 7 times 2 is
14 so we put a 2 up here 2 times 7 we got a 14 here we're gonna subtract these
19 minus 14 that gives us 5 so we would say 5 remainder we're writing as a
fraction number we take our remainder we divide it by our divisor so we get 5
over 7 there and looks like that's our answer
there so great job I wonder if you've made the connection now after we've done
a few of these remember when we write a fraction let's
take our remainder here so 5 over 7 is the same as saying 5/7 ok so that's how
we're getting to this fraction here from our division at this point all right
here says 64 divided by 30 so we're gonna do this division and then when we
find that remainder we're gonna write it as a fraction as you can see here and
our answer choices so let's set it up to start so we know that it's gonna be 30
divided into 64 so you might know from your facts family that 30 goes into 60 2
times so 30 times 2 is 60 so I can put a 2 up here and I say 2 times 30 I
multiply these give me 60 I subtracted this I have a 4 remaining so now it says
30 goes into 4 how many times well we know it doesn't go in an equal time so
traditionally I would write this as my remainder of 4 but now I'm writing this
as a fraction so what I'm actually gonna have is I'm gonna have my 2 remainder 4
it's gonna be re-written as a fraction so it'll be 2 is going to be 4 on top of
whatever I'm dividing by which is my 30 but I can simplify this fraction right
they both are divisible by 2 so if I divide each of these by 2 I'll have a 2
on top and a 15 on the bottom so my answer comes to 2 and 2/5 teeth's
which looks like this top answer here great job learning how to write your
remainders as a fraction now go ahead and practice what you've learned by
doing the online games and quizzes have fun and remember to always be clever