 Three
students share 13 sticks of string
cheese. How many sticks of string cheese
does each student get if they receive equal
shares?
Students
Sticks of String
Cheese per
Students
Sticks of String
Cheese in all
3
?
13
4
R1 is the correct answer!
 But…this
does not satisfy those students.
They want to know what happens to the last
stick?
 Does
it get thrown away? That’s a waste!
What do we do?
 So,
the answer was 4 R1.
 Each
student gets 4 whole cheese sticks.
 What
could we do with the remaining cheese
stick?
 We
could split it into three equal parts!
1
3
1
3
1
3
 Therefore,
each student will receive 4 1/3
sticks of string cheese.
 Another
way to say this is 4 1/3 sticks of
cheese per student.
4
1/3 is a mixed number (using whole
numbers and fractions mixed together).
 In
this lesson we will be solving division
number stories in which something must be
done with the remainder in order to provide
a more useful answer.
 We
will be showing the remainder using
either decimals or fractions!
 Four
brothers are given 35 fruit bars. They
agree to share the bars equally. How many
fruit bars will each boy get?
 This
 If
is a division problem: 35/4=8 R3
they each get 8 fruit bars, 3 fruit bars
would still need to be divided.
I
have divided each bar into 4 parts for each
of the four boys.
 Each
boy will get 1 piece of each bar. They
will get 3 parts. It takes 4 parts to make a
whole bar.
So they will get ¾ more.
 As
you can see, there were 3 remainders,
and four boys. ¾ So Simple!
 Answer:
8 ¾ fruit bars
 The
top number to a fraction is called the
numerator.
 The bottom is the denominator.
 Just
remember: numerator up, denominator
down.
 What
is the 3 in ¾ ?
 When
we have reminders in money, it is
easier to use decimals (cents).
 Four
people split the cost of a $15 present
equally. What is each person’s share?
 15/4
= 3 R3
25¢ 25¢ 25¢ 25¢
 Each
person will get 3 parts of a dollar.
 How
much is 3 parts of a dollar?
25¢ 25¢ 25¢ 25¢
 Answer:
$3.75

Sometimes it is important to leave a remainder
as a remainder and not show it as a fraction or
decimal.

Three children wish to divide a set of 16 toy cars
equally. What is each child’s share?

16 / 3 = 5 R1

Do we chop up that last car?

No, we leave it alone. It truly is a leftover.
 Ann
has $18 to buy notebooks that cost $4
each. How many notebooks can she buy?
 18/4
 She
= 4 R2
would not use the remaining $2 to buy
parts of notebooks. The answer is 4
notebooks with $2 left over.
 Esteban
has 29 photographs. He can fit 6
photos on each page of his photo album.
How many pages must he use to hold all 29?
 29
/ 6 = 4 R5
 We
would fill 4 pages, but have 5 pictures
left over. We must use another page to hold
the remaining 5.
 Therefore
we would need to use 5 pages to
hold all the pages.
 Let’s
try a few on page 148!
 Homework
Page 182